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Finding the Fourth Proportional to 323.73, 446.24 and 240.71

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Solution

The fourth proportional to 323.73, 446.24 and 240.71 is: 331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.73 : 446.24 = 240.71 : x
  2. Step 2: Convert to fraction form
    323.73/446.24 = 240.71/x
  3. Step 3: Cross multiply
    323.73x = 446.24 × 240.71
  4. Step 4: Simplify right side
    323.73x = 107,412.80
  5. Step 5: Solve for x
    x = 107,412.80/323.73
  6. Step 6: Final answer
    x = 331.80

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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.