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Finding the Fourth Proportional to 658.98, 909.51 and 397.14

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Solution

The fourth proportional to 658.98, 909.51 and 397.14 is: 548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.98 : 909.51 = 397.14 : x
  2. Step 2: Convert to fraction form
    658.98/909.51 = 397.14/x
  3. Step 3: Cross multiply
    658.98x = 909.51 × 397.14
  4. Step 4: Simplify right side
    658.98x = 361,202.80
  5. Step 5: Solve for x
    x = 361,202.80/658.98
  6. Step 6: Final answer
    x = 548.12

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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.