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Finding the Fourth Proportional to 424.92, 637.68 and 344.16

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Solution

The fourth proportional to 424.92, 637.68 and 344.16 is: 516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.92 : 637.68 = 344.16 : x
  2. Step 2: Convert to fraction form
    424.92/637.68 = 344.16/x
  3. Step 3: Cross multiply
    424.92x = 637.68 × 344.16
  4. Step 4: Simplify right side
    424.92x = 219,463.95
  5. Step 5: Solve for x
    x = 219,463.95/424.92
  6. Step 6: Final answer
    x = 516.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.