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Finding the Fourth Proportional to 462.80, 638.16 and 458.12

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Solution

The fourth proportional to 462.80, 638.16 and 458.12 is: 631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.80 : 638.16 = 458.12 : x
  2. Step 2: Convert to fraction form
    462.80/638.16 = 458.12/x
  3. Step 3: Cross multiply
    462.80x = 638.16 × 458.12
  4. Step 4: Simplify right side
    462.80x = 292,353.86
  5. Step 5: Solve for x
    x = 292,353.86/462.80
  6. Step 6: Final answer
    x = 631.71

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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.