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Finding the Fourth Proportional to 447.87, 671.73 and 123.27

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Solution

The fourth proportional to 447.87, 671.73 and 123.27 is: 184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.87 : 671.73 = 123.27 : x
  2. Step 2: Convert to fraction form
    447.87/671.73 = 123.27/x
  3. Step 3: Cross multiply
    447.87x = 671.73 × 123.27
  4. Step 4: Simplify right side
    447.87x = 82,804.16
  5. Step 5: Solve for x
    x = 82,804.16/447.87
  6. Step 6: Final answer
    x = 184.88

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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.