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Finding the Fourth Proportional to 547.38, 816.25 and 542.44

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Solution

The fourth proportional to 547.38, 816.25 and 542.44 is: 808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 816.25 = 542.44 : x
  2. Step 2: Convert to fraction form
    547.38/816.25 = 542.44/x
  3. Step 3: Cross multiply
    547.38x = 816.25 × 542.44
  4. Step 4: Simplify right side
    547.38x = 442,765.30
  5. Step 5: Solve for x
    x = 442,765.30/547.38
  6. Step 6: Final answer
    x = 808.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.