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Finding the Fourth Proportional to 441.05, 660.96 and 197.44

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Solution

The fourth proportional to 441.05, 660.96 and 197.44 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.05 : 660.96 = 197.44 : x
  2. Step 2: Convert to fraction form
    441.05/660.96 = 197.44/x
  3. Step 3: Cross multiply
    441.05x = 660.96 × 197.44
  4. Step 4: Simplify right side
    441.05x = 130,498.29
  5. Step 5: Solve for x
    x = 130,498.29/441.05
  6. Step 6: Final answer
    x = 295.88

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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.