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Finding the Fourth Proportional to 547.61, 821.57 and 200.93

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Solution

The fourth proportional to 547.61, 821.57 and 200.93 is: 301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.61 : 821.57 = 200.93 : x
  2. Step 2: Convert to fraction form
    547.61/821.57 = 200.93/x
  3. Step 3: Cross multiply
    547.61x = 821.57 × 200.93
  4. Step 4: Simplify right side
    547.61x = 165,072.95
  5. Step 5: Solve for x
    x = 165,072.95/547.61
  6. Step 6: Final answer
    x = 301.45

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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.