To find the value of \( x \) using the geometric mean between the two numbers 3 and 4, we can set up the equation as follows:
\[ x = \sqrt{3 \times 4} \]
Calculating this:
\[ x = \sqrt{12} \]
Now, finding the square root of 12, we can simplify it:
\[ x \approx 3.4641 \]
Rounding to the nearest tenth, we get:
\[ x \approx 3.5 \]
Thus, the value of \( x \) rounded to the nearest tenth is:
\[ \boxed{3.5} \]
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