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Finding the Fourth Proportional to 563.10, 844.32 and 197.82

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Solution

The fourth proportional to 563.10, 844.32 and 197.82 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.10 : 844.32 = 197.82 : x
  2. Step 2: Convert to fraction form
    563.10/844.32 = 197.82/x
  3. Step 3: Cross multiply
    563.10x = 844.32 × 197.82
  4. Step 4: Simplify right side
    563.10x = 167,023.38
  5. Step 5: Solve for x
    x = 167,023.38/563.10
  6. Step 6: Final answer
    x = 296.61

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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.