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Finding the Fourth Proportional to 634.62, 951.92 and 462.38

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Solution

The fourth proportional to 634.62, 951.92 and 462.38 is: 693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.62 : 951.92 = 462.38 : x
  2. Step 2: Convert to fraction form
    634.62/951.92 = 462.38/x
  3. Step 3: Cross multiply
    634.62x = 951.92 × 462.38
  4. Step 4: Simplify right side
    634.62x = 440,148.77
  5. Step 5: Solve for x
    x = 440,148.77/634.62
  6. Step 6: Final answer
    x = 693.56

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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.