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Finding the Fourth Proportional to 542.45, 814.08 and 254.09

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Solution

The fourth proportional to 542.45, 814.08 and 254.09 is: 381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.45 : 814.08 = 254.09 : x
  2. Step 2: Convert to fraction form
    542.45/814.08 = 254.09/x
  3. Step 3: Cross multiply
    542.45x = 814.08 × 254.09
  4. Step 4: Simplify right side
    542.45x = 206,852.58
  5. Step 5: Solve for x
    x = 206,852.58/542.45
  6. Step 6: Final answer
    x = 381.33

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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.