Solve the Fraction Equation: Finding the Value in 2/4 × ? = 2/7

To solve the problem, let's use the equation provided:

$\frac{2}{4} \times x = \frac{2}{7}$

Step 1: Isolate the missing fraction $x$ by dividing both sides by $\frac{2}{4}$.

$x = \frac{\frac{2}{7}}{\frac{2}{4}}$

Step 2: Simplify the division of the fractions. Recall that dividing by a fraction is the same as multiplying by its reciprocal.

$x = \frac{2}{7} \times \frac{4}{2}$

Step 3: Simplify the multiplication by canceling common factors. Here, $\frac{4}{2}$ simplifies to 2.

$x = \frac{2 \times 4}{7 \times 2} = \frac{4}{7}$

Therefore, the missing fraction $x$ is $\frac{4}{7}$.

Thus, the correct answer is:

$\frac{4}{7}$ (corresponds to choice 3)