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Finding the Fourth Proportional to 477.96, 658.98 and 440.88

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Solution

The fourth proportional to 477.96, 658.98 and 440.88 is: 607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.96 : 658.98 = 440.88 : x
  2. Step 2: Convert to fraction form
    477.96/658.98 = 440.88/x
  3. Step 3: Cross multiply
    477.96x = 658.98 × 440.88
  4. Step 4: Simplify right side
    477.96x = 290,531.10
  5. Step 5: Solve for x
    x = 290,531.10/477.96
  6. Step 6: Final answer
    x = 607.86

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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.