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Finding the Fourth Proportional to 542.50, 813.75 and 254.14

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Solution

The fourth proportional to 542.50, 813.75 and 254.14 is: 381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.50 : 813.75 = 254.14 : x
  2. Step 2: Convert to fraction form
    542.50/813.75 = 254.14/x
  3. Step 3: Cross multiply
    542.50x = 813.75 × 254.14
  4. Step 4: Simplify right side
    542.50x = 206,801.09
  5. Step 5: Solve for x
    x = 206,801.09/542.50
  6. Step 6: Final answer
    x = 381.20

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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.