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Finding the Fourth Proportional to 323.82, 447.24 and 269.15

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Solution

The fourth proportional to 323.82, 447.24 and 269.15 is: 371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.82 : 447.24 = 269.15 : x
  2. Step 2: Convert to fraction form
    323.82/447.24 = 269.15/x
  3. Step 3: Cross multiply
    323.82x = 447.24 × 269.15
  4. Step 4: Simplify right side
    323.82x = 120,372.41
  5. Step 5: Solve for x
    x = 120,372.41/323.82
  6. Step 6: Final answer
    x = 371.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.