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Finding the Fourth Proportional to 547.25, 819.09 and 362.21

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Solution

The fourth proportional to 547.25, 819.09 and 362.21 is: 542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.25 : 819.09 = 362.21 : x
  2. Step 2: Convert to fraction form
    547.25/819.09 = 362.21/x
  3. Step 3: Cross multiply
    547.25x = 819.09 × 362.21
  4. Step 4: Simplify right side
    547.25x = 296,678.49
  5. Step 5: Solve for x
    x = 296,678.49/547.25
  6. Step 6: Final answer
    x = 542.13

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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.