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Finding the Fourth Proportional to 658.16, 985.44 and 616.04

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Solution

The fourth proportional to 658.16, 985.44 and 616.04 is: 922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 985.44 = 616.04 : x
  2. Step 2: Convert to fraction form
    658.16/985.44 = 616.04/x
  3. Step 3: Cross multiply
    658.16x = 985.44 × 616.04
  4. Step 4: Simplify right side
    658.16x = 607,070.46
  5. Step 5: Solve for x
    x = 607,070.46/658.16
  6. Step 6: Final answer
    x = 922.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.