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Finding the Fourth Proportional to 562.82, 843.77 and 197.56

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Solution

The fourth proportional to 562.82, 843.77 and 197.56 is: 296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 843.77 = 197.56 : x
  2. Step 2: Convert to fraction form
    562.82/843.77 = 197.56/x
  3. Step 3: Cross multiply
    562.82x = 843.77 × 197.56
  4. Step 4: Simplify right side
    562.82x = 166,690.89
  5. Step 5: Solve for x
    x = 166,690.89/562.82
  6. Step 6: Final answer
    x = 296.17

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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.