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Finding the Fourth Proportional to 562.42, 843.63 and 197.12

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Solution

The fourth proportional to 562.42, 843.63 and 197.12 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.42 : 843.63 = 197.12 : x
  2. Step 2: Convert to fraction form
    562.42/843.63 = 197.12/x
  3. Step 3: Cross multiply
    562.42x = 843.63 × 197.12
  4. Step 4: Simplify right side
    562.42x = 166,296.81
  5. Step 5: Solve for x
    x = 166,296.81/562.42
  6. Step 6: Final answer
    x = 295.68

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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.