The activation energy of one of the reactions in a biochemical process is 532611 J mol^$-$1. When the temperature falls from 310 K to 300 K, the change in rate constant observed is k₃₀₀ = x $\times$ 10^$-$3 k₃₁₀. The value of x is ____________.

[Given : $\ln 10 = 2.3$, R = 8.3 J K^$-$1 mol^$-$1]