You own a share of stock that is expected to pay dividends that grow at a constant annual rate forever. A dividend of $$3\mathrm{.}64$ is expected to be paid in $2$ years. The dividend in $10$ years is expected to be $$7\mathrm{.}27.$ What is the annual dividend growth rate? $($Express answer as a decimal. Round to the nearest ten thousandth$)$