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Finding the Fourth Proportional to 542.62, 814.31 and 218.06

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Solution

The fourth proportional to 542.62, 814.31 and 218.06 is: 327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.62 : 814.31 = 218.06 : x
  2. Step 2: Convert to fraction form
    542.62/814.31 = 218.06/x
  3. Step 3: Cross multiply
    542.62x = 814.31 × 218.06
  4. Step 4: Simplify right side
    542.62x = 177,568.44
  5. Step 5: Solve for x
    x = 177,568.44/542.62
  6. Step 6: Final answer
    x = 327.24

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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.