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Finding the Fourth Proportional to 562.82, 844.54 and 197.87

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Solution

The fourth proportional to 562.82, 844.54 and 197.87 is: 296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 844.54 = 197.87 : x
  2. Step 2: Convert to fraction form
    562.82/844.54 = 197.87/x
  3. Step 3: Cross multiply
    562.82x = 844.54 × 197.87
  4. Step 4: Simplify right side
    562.82x = 167,104.41
  5. Step 5: Solve for x
    x = 167,104.41/562.82
  6. Step 6: Final answer
    x = 296.91

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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.