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Finding the Fourth Proportional to 658.16, 907.24 and 517.96

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Solution

The fourth proportional to 658.16, 907.24 and 517.96 is: 713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 907.24 = 517.96 : x
  2. Step 2: Convert to fraction form
    658.16/907.24 = 517.96/x
  3. Step 3: Cross multiply
    658.16x = 907.24 × 517.96
  4. Step 4: Simplify right side
    658.16x = 469,914.03
  5. Step 5: Solve for x
    x = 469,914.03/658.16
  6. Step 6: Final answer
    x = 713.98

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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.