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Finding the Fourth Proportional to 658.88, 908.24 and 518.72

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Solution

The fourth proportional to 658.88, 908.24 and 518.72 is: 715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.88 : 908.24 = 518.72 : x
  2. Step 2: Convert to fraction form
    658.88/908.24 = 518.72/x
  3. Step 3: Cross multiply
    658.88x = 908.24 × 518.72
  4. Step 4: Simplify right side
    658.88x = 471,122.25
  5. Step 5: Solve for x
    x = 471,122.25/658.88
  6. Step 6: Final answer
    x = 715.03

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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.