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

[Given :  $\ln 10=2.3$ $\mathrm{R}=8.3{\mathrm{JK}}^{-1}{\mathrm{mol}}^{-1}$]