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Finding the Fourth Proportional to 663.59, 916.02 and 477.15

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Solution

The fourth proportional to 663.59, 916.02 and 477.15 is: 658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.59 : 916.02 = 477.15 : x
  2. Step 2: Convert to fraction form
    663.59/916.02 = 477.15/x
  3. Step 3: Cross multiply
    663.59x = 916.02 × 477.15
  4. Step 4: Simplify right side
    663.59x = 437,078.94
  5. Step 5: Solve for x
    x = 437,078.94/663.59
  6. Step 6: Final answer
    x = 658.66

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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.