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Finding the Fourth Proportional to 447.27, 671.01 and 187.14

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Solution

The fourth proportional to 447.27, 671.01 and 187.14 is: 280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.27 : 671.01 = 187.14 : x
  2. Step 2: Convert to fraction form
    447.27/671.01 = 187.14/x
  3. Step 3: Cross multiply
    447.27x = 671.01 × 187.14
  4. Step 4: Simplify right side
    447.27x = 125,572.11
  5. Step 5: Solve for x
    x = 125,572.11/447.27
  6. Step 6: Final answer
    x = 280.75

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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.