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Finding the Fourth Proportional to 562.38, 843.83 and 215.84

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Solution

The fourth proportional to 562.38, 843.83 and 215.84 is: 323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.38 : 843.83 = 215.84 : x
  2. Step 2: Convert to fraction form
    562.38/843.83 = 215.84/x
  3. Step 3: Cross multiply
    562.38x = 843.83 × 215.84
  4. Step 4: Simplify right side
    562.38x = 182,126.97
  5. Step 5: Solve for x
    x = 182,126.97/562.38
  6. Step 6: Final answer
    x = 323.85

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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.