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Finding the Fourth Proportional to 542.78, 814.26 and 218.10

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Solution

The fourth proportional to 542.78, 814.26 and 218.10 is: 327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.78 : 814.26 = 218.10 : x
  2. Step 2: Convert to fraction form
    542.78/814.26 = 218.10/x
  3. Step 3: Cross multiply
    542.78x = 814.26 × 218.10
  4. Step 4: Simplify right side
    542.78x = 177,590.11
  5. Step 5: Solve for x
    x = 177,590.11/542.78
  6. Step 6: Final answer
    x = 327.19

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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.