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Finding the Fourth Proportional to 658.73, 909.16 and 393.18

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Solution

The fourth proportional to 658.73, 909.16 and 393.18 is: 542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.73 : 909.16 = 393.18 : x
  2. Step 2: Convert to fraction form
    658.73/909.16 = 393.18/x
  3. Step 3: Cross multiply
    658.73x = 909.16 × 393.18
  4. Step 4: Simplify right side
    658.73x = 357,463.53
  5. Step 5: Solve for x
    x = 357,463.53/658.73
  6. Step 6: Final answer
    x = 542.66

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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.