Methanol is produced by the reversible, gas-phase hydrogenation of carbon monoxide:
\[
{CO} + 2{H}_2 \rightleftharpoons {CH}_3{OH}
\]
CO and H$_2$ are charged to a reactor, and the reaction proceeds to equilibrium at 453 K and 2 atm. The reaction equilibrium constant, which depends only on the temperature, is 1.68 at the reaction conditions. The mole fraction of H$_2$ in the product is 0.4. Assuming ideal gas behavior, the mole fraction of methanol in the product is __________ (rounded off to 2 decimal places).