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Finding the Fourth Proportional to 562.41, 843.35 and 197.16

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Solution

The fourth proportional to 562.41, 843.35 and 197.16 is: 295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.41 : 843.35 = 197.16 : x
  2. Step 2: Convert to fraction form
    562.41/843.35 = 197.16/x
  3. Step 3: Cross multiply
    562.41x = 843.35 × 197.16
  4. Step 4: Simplify right side
    562.41x = 166,273.90
  5. Step 5: Solve for x
    x = 166,273.90/562.41
  6. Step 6: Final answer
    x = 295.65

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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.