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Finding the Fourth Proportional to 441.50, 662.14 and 197.97

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Solution

The fourth proportional to 441.50, 662.14 and 197.97 is: 296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.50 : 662.14 = 197.97 : x
  2. Step 2: Convert to fraction form
    441.50/662.14 = 197.97/x
  3. Step 3: Cross multiply
    441.50x = 662.14 × 197.97
  4. Step 4: Simplify right side
    441.50x = 131,082.65
  5. Step 5: Solve for x
    x = 131,082.65/441.50
  6. Step 6: Final answer
    x = 296.90

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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.