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Finding the Fourth Proportional to 658.30, 908.64 and 461.86

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Solution

The fourth proportional to 658.30, 908.64 and 461.86 is: 637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.30 : 908.64 = 461.86 : x
  2. Step 2: Convert to fraction form
    658.30/908.64 = 461.86/x
  3. Step 3: Cross multiply
    658.30x = 908.64 × 461.86
  4. Step 4: Simplify right side
    658.30x = 419,664.47
  5. Step 5: Solve for x
    x = 419,664.47/658.30
  6. Step 6: Final answer
    x = 637.50

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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.