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Finding the Fourth Proportional to 322.53, 444.96 and 239.84

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Solution

The fourth proportional to 322.53, 444.96 and 239.84 is: 330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.53 : 444.96 = 239.84 : x
  2. Step 2: Convert to fraction form
    322.53/444.96 = 239.84/x
  3. Step 3: Cross multiply
    322.53x = 444.96 × 239.84
  4. Step 4: Simplify right side
    322.53x = 106,719.21
  5. Step 5: Solve for x
    x = 106,719.21/322.53
  6. Step 6: Final answer
    x = 330.88

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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.