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Finding the Fourth Proportional to 658.56, 908.12 and 518.44

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Solution

The fourth proportional to 658.56, 908.12 and 518.44 is: 714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.56 : 908.12 = 518.44 : x
  2. Step 2: Convert to fraction form
    658.56/908.12 = 518.44/x
  3. Step 3: Cross multiply
    658.56x = 908.12 × 518.44
  4. Step 4: Simplify right side
    658.56x = 470,805.73
  5. Step 5: Solve for x
    x = 470,805.73/658.56
  6. Step 6: Final answer
    x = 714.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.