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Finding the Fourth Proportional to 658.38, 985.76 and 462.78

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Solution

The fourth proportional to 658.38, 985.76 and 462.78 is: 692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.38 : 985.76 = 462.78 : x
  2. Step 2: Convert to fraction form
    658.38/985.76 = 462.78/x
  3. Step 3: Cross multiply
    658.38x = 985.76 × 462.78
  4. Step 4: Simplify right side
    658.38x = 456,190.01
  5. Step 5: Solve for x
    x = 456,190.01/658.38
  6. Step 6: Final answer
    x = 692.90

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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.