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Finding the Fourth Proportional to 477.20, 717.24 and 441.68

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Solution

The fourth proportional to 477.20, 717.24 and 441.68 is: 663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.20 : 717.24 = 441.68 : x
  2. Step 2: Convert to fraction form
    477.20/717.24 = 441.68/x
  3. Step 3: Cross multiply
    477.20x = 717.24 × 441.68
  4. Step 4: Simplify right side
    477.20x = 316,790.56
  5. Step 5: Solve for x
    x = 316,790.56/477.20
  6. Step 6: Final answer
    x = 663.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.