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Finding the Fourth Proportional to 547.56, 821.23 and 200.77

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Solution

The fourth proportional to 547.56, 821.23 and 200.77 is: 301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.56 : 821.23 = 200.77 : x
  2. Step 2: Convert to fraction form
    547.56/821.23 = 200.77/x
  3. Step 3: Cross multiply
    547.56x = 821.23 × 200.77
  4. Step 4: Simplify right side
    547.56x = 164,882.13
  5. Step 5: Solve for x
    x = 164,882.13/547.56
  6. Step 6: Final answer
    x = 301.12

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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.