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Finding the Fourth Proportional to 721.68, 996.17 and 441.85

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Solution

The fourth proportional to 721.68, 996.17 and 441.85 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.68 : 996.17 = 441.85 : x
  2. Step 2: Convert to fraction form
    721.68/996.17 = 441.85/x
  3. Step 3: Cross multiply
    721.68x = 996.17 × 441.85
  4. Step 4: Simplify right side
    721.68x = 440,151.63
  5. Step 5: Solve for x
    x = 440,151.63/721.68
  6. Step 6: Final answer
    x = 609.90

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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.