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Finding the Fourth Proportional to 562.43, 843.60 and 197.23

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Solution

The fourth proportional to 562.43, 843.60 and 197.23 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.43 : 843.60 = 197.23 : x
  2. Step 2: Convert to fraction form
    562.43/843.60 = 197.23/x
  3. Step 3: Cross multiply
    562.43x = 843.60 × 197.23
  4. Step 4: Simplify right side
    562.43x = 166,383.23
  5. Step 5: Solve for x
    x = 166,383.23/562.43
  6. Step 6: Final answer
    x = 295.83

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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.