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Finding the Fourth Proportional to 547.84, 821.79 and 201.13

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Solution

The fourth proportional to 547.84, 821.79 and 201.13 is: 301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.84 : 821.79 = 201.13 : x
  2. Step 2: Convert to fraction form
    547.84/821.79 = 201.13/x
  3. Step 3: Cross multiply
    547.84x = 821.79 × 201.13
  4. Step 4: Simplify right side
    547.84x = 165,286.62
  5. Step 5: Solve for x
    x = 165,286.62/547.84
  6. Step 6: Final answer
    x = 301.71

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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.