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Finding the Fourth Proportional to 658.53, 908.15 and 492.57

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Solution

The fourth proportional to 658.53, 908.15 and 492.57 is: 679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.53 : 908.15 = 492.57 : x
  2. Step 2: Convert to fraction form
    658.53/908.15 = 492.57/x
  3. Step 3: Cross multiply
    658.53x = 908.15 × 492.57
  4. Step 4: Simplify right side
    658.53x = 447,324.98
  5. Step 5: Solve for x
    x = 447,324.98/658.53
  6. Step 6: Final answer
    x = 679.28

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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.