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Finding the Fourth Proportional to 447.70, 671.12 and 252.68

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Solution

The fourth proportional to 447.70, 671.12 and 252.68 is: 378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.70 : 671.12 = 252.68 : x
  2. Step 2: Convert to fraction form
    447.70/671.12 = 252.68/x
  3. Step 3: Cross multiply
    447.70x = 671.12 × 252.68
  4. Step 4: Simplify right side
    447.70x = 169,578.60
  5. Step 5: Solve for x
    x = 169,578.60/447.70
  6. Step 6: Final answer
    x = 378.78

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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.