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Finding the Fourth Proportional to 562.37, 843.56 and 197.42

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Solution

The fourth proportional to 562.37, 843.56 and 197.42 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.37 : 843.56 = 197.42 : x
  2. Step 2: Convert to fraction form
    562.37/843.56 = 197.42/x
  3. Step 3: Cross multiply
    562.37x = 843.56 × 197.42
  4. Step 4: Simplify right side
    562.37x = 166,535.62
  5. Step 5: Solve for x
    x = 166,535.62/562.37
  6. Step 6: Final answer
    x = 296.13

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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.