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Finding the Fourth Proportional to 562.75, 843.92 and 197.44

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Solution

The fourth proportional to 562.75, 843.92 and 197.44 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.75 : 843.92 = 197.44 : x
  2. Step 2: Convert to fraction form
    562.75/843.92 = 197.44/x
  3. Step 3: Cross multiply
    562.75x = 843.92 × 197.44
  4. Step 4: Simplify right side
    562.75x = 166,621.21
  5. Step 5: Solve for x
    x = 166,621.21/562.75
  6. Step 6: Final answer
    x = 296.09

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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.