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Finding the Fourth Proportional to 306.87, 424.08 and 247.74

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Solution

The fourth proportional to 306.87, 424.08 and 247.74 is: 342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.87 : 424.08 = 247.74 : x
  2. Step 2: Convert to fraction form
    306.87/424.08 = 247.74/x
  3. Step 3: Cross multiply
    306.87x = 424.08 × 247.74
  4. Step 4: Simplify right side
    306.87x = 105,061.58
  5. Step 5: Solve for x
    x = 105,061.58/306.87
  6. Step 6: Final answer
    x = 342.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.