Please post your calculation again so we can check.
The basic idea is that in the Hadcrut4 data set, the decade averaged pre1950 warming was .288 C above the pre1900 average.
Any feedbacks that exists would be evident in the total warming since the 1950 average, less any know forcing that has occurred since 1950.
Total Harcrut4 decade average warming, is .89 C, so the warming since 1950 is .89-.288= .602C
According to NOAA the total forcing of all the well mixed greenhouse gasses in 2018 come out to a CO2-eq of 496 ppm
based on NOAA trend, the 1950 CO2-eq level would be ~332 ppm.
NOAA/ESRL Global Monitoring Division - THE NOAA ANNUAL GREENHOUSE GAS INDEX (AGGI)
Based on forcing formulas from the American Chemical Society,
Climate Sensitivity - American Chemical Society
The forcing warming from that change in CO2-eq would be (5.35 X ln(496/332) X .3)=.644C
If the total observed warming since 1950 is less than the the forcing warming, then that leaves no room for any positive feedbacks
to be applied to the pre1950 .288 C.
If we did apply the feedbacks for an ECS of 3C, and used Hansen's latency period, (37.5 years)
the .288 C would need to be multiplied by 2.72, and then 60% of that number would be expected by 1988.
.288 X 2.72 X.6=.47 C
Now we clearly do not have enough observed warming within the .89 C total to account for the original .288 C, the post 1950 forcing of .644 C,
and the .47 C of predicted feedbacks.(.288 + .644 +.47)=1.402C.
In addition we still have not accounted for the increase in solar insolation
that has occurred as regulations cleared many aerosols from the skies, or the second feedback cycle that would
see the 1988 .47 C output as an input for a new cycle, that would complete in 2025, as well as the remaining 40% of cycle 1.