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Finding the Fourth Proportional to 327.71, 491.56 and 220.19

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Solution

The fourth proportional to 327.71, 491.56 and 220.19 is: 330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.71 : 491.56 = 220.19 : x
  2. Step 2: Convert to fraction form
    327.71/491.56 = 220.19/x
  3. Step 3: Cross multiply
    327.71x = 491.56 × 220.19
  4. Step 4: Simplify right side
    327.71x = 108,233.59
  5. Step 5: Solve for x
    x = 108,233.59/327.71
  6. Step 6: Final answer
    x = 330.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.