Exponential Growth Problem. Is this solution correct?

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I would just like to confirm that I'm doing this correctly. If not, any help would be appreciated. Thanks!

The problem:

A painting sold for $\$274$ in $1977$ and was sold again in $1987$ for $\$470$. Assume that the growth in the value $V$ of the collector’s item was exponential.

Find the value $k$ of the exponential growth rate. Assume $V_0 = 274$.

My attempt at solving it:

$470=274e^{10k}$

$k = 0.054$ (rounded to the nearest thousandth)