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Finding the Fourth Proportional to 547.17, 820.53 and 200.43

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Solution

The fourth proportional to 547.17, 820.53 and 200.43 is: 300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.17 : 820.53 = 200.43 : x
  2. Step 2: Convert to fraction form
    547.17/820.53 = 200.43/x
  3. Step 3: Cross multiply
    547.17x = 820.53 × 200.43
  4. Step 4: Simplify right side
    547.17x = 164,458.83
  5. Step 5: Solve for x
    x = 164,458.83/547.17
  6. Step 6: Final answer
    x = 300.56

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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.