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Finding the Fourth Proportional to 327.71, 451.68 and 240.23

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Solution

The fourth proportional to 327.71, 451.68 and 240.23 is: 331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.71 : 451.68 = 240.23 : x
  2. Step 2: Convert to fraction form
    327.71/451.68 = 240.23/x
  3. Step 3: Cross multiply
    327.71x = 451.68 × 240.23
  4. Step 4: Simplify right side
    327.71x = 108,507.09
  5. Step 5: Solve for x
    x = 108,507.09/327.71
  6. Step 6: Final answer
    x = 331.11

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