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Finding the Fourth Proportional to 478.59, 721.47 and 447.27

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Solution

The fourth proportional to 478.59, 721.47 and 447.27 is: 674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.59 : 721.47 = 447.27 : x
  2. Step 2: Convert to fraction form
    478.59/721.47 = 447.27/x
  3. Step 3: Cross multiply
    478.59x = 721.47 × 447.27
  4. Step 4: Simplify right side
    478.59x = 322,691.89
  5. Step 5: Solve for x
    x = 322,691.89/478.59
  6. Step 6: Final answer
    x = 674.26

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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.