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Finding the Fourth Proportional to 447.73, 671.32 and 265.17

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Solution

The fourth proportional to 447.73, 671.32 and 265.17 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.73 : 671.32 = 265.17 : x
  2. Step 2: Convert to fraction form
    447.73/671.32 = 265.17/x
  3. Step 3: Cross multiply
    447.73x = 671.32 × 265.17
  4. Step 4: Simplify right side
    447.73x = 178,013.92
  5. Step 5: Solve for x
    x = 178,013.92/447.73
  6. Step 6: Final answer
    x = 397.59

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Why These Related Problems?

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