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Finding the Fourth Proportional to 686.53, 946.92 and 450.61

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Solution

The fourth proportional to 686.53, 946.92 and 450.61 is: 621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.53 : 946.92 = 450.61 : x
  2. Step 2: Convert to fraction form
    686.53/946.92 = 450.61/x
  3. Step 3: Cross multiply
    686.53x = 946.92 × 450.61
  4. Step 4: Simplify right side
    686.53x = 426,691.62
  5. Step 5: Solve for x
    x = 426,691.62/686.53
  6. Step 6: Final answer
    x = 621.52

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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.