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Finding the Fourth Proportional to 547.28, 821.60 and 544.78

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Solution

The fourth proportional to 547.28, 821.60 and 544.78 is: 817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 821.60 = 544.78 : x
  2. Step 2: Convert to fraction form
    547.28/821.60 = 544.78/x
  3. Step 3: Cross multiply
    547.28x = 821.60 × 544.78
  4. Step 4: Simplify right side
    547.28x = 447,591.59
  5. Step 5: Solve for x
    x = 447,591.59/547.28
  6. Step 6: Final answer
    x = 817.85

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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.