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Finding the Fourth Proportional to 547.02, 819.41 and 363.83

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Solution

The fourth proportional to 547.02, 819.41 and 363.83 is: 544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.02 : 819.41 = 363.83 : x
  2. Step 2: Convert to fraction form
    547.02/819.41 = 363.83/x
  3. Step 3: Cross multiply
    547.02x = 819.41 × 363.83
  4. Step 4: Simplify right side
    547.02x = 298,120.02
  5. Step 5: Solve for x
    x = 298,120.02/547.02
  6. Step 6: Final answer
    x = 544.99

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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.