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Finding the Fourth Proportional to 477.87, 721.12 and 460.71

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Solution

The fourth proportional to 477.87, 721.12 and 460.71 is: 695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.87 : 721.12 = 460.71 : x
  2. Step 2: Convert to fraction form
    477.87/721.12 = 460.71/x
  3. Step 3: Cross multiply
    477.87x = 721.12 × 460.71
  4. Step 4: Simplify right side
    477.87x = 332,226.99
  5. Step 5: Solve for x
    x = 332,226.99/477.87
  6. Step 6: Final answer
    x = 695.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.