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Finding the Fourth Proportional to 542.90, 814.67 and 254.18

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Solution

The fourth proportional to 542.90, 814.67 and 254.18 is: 381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.90 : 814.67 = 254.18 : x
  2. Step 2: Convert to fraction form
    542.90/814.67 = 254.18/x
  3. Step 3: Cross multiply
    542.90x = 814.67 × 254.18
  4. Step 4: Simplify right side
    542.90x = 207,072.82
  5. Step 5: Solve for x
    x = 207,072.82/542.90
  6. Step 6: Final answer
    x = 381.42

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Why These Related Problems?

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