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Finding the Fourth Proportional to 658.16, 985.08 and 542.96

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Solution

The fourth proportional to 658.16, 985.08 and 542.96 is: 812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 985.08 = 542.96 : x
  2. Step 2: Convert to fraction form
    658.16/985.08 = 542.96/x
  3. Step 3: Cross multiply
    658.16x = 985.08 × 542.96
  4. Step 4: Simplify right side
    658.16x = 534,859.04
  5. Step 5: Solve for x
    x = 534,859.04/658.16
  6. Step 6: Final answer
    x = 812.66

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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.