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Finding the Fourth Proportional to 547.74, 821.41 and 200.99

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Solution

The fourth proportional to 547.74, 821.41 and 200.99 is: 301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.74 : 821.41 = 200.99 : x
  2. Step 2: Convert to fraction form
    547.74/821.41 = 200.99/x
  3. Step 3: Cross multiply
    547.74x = 821.41 × 200.99
  4. Step 4: Simplify right side
    547.74x = 165,096.75
  5. Step 5: Solve for x
    x = 165,096.75/547.74
  6. Step 6: Final answer
    x = 301.41

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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.