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Finding the Fourth Proportional to 441.39, 662.27 and 197.75

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Solution

The fourth proportional to 441.39, 662.27 and 197.75 is: 296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.39 : 662.27 = 197.75 : x
  2. Step 2: Convert to fraction form
    441.39/662.27 = 197.75/x
  3. Step 3: Cross multiply
    441.39x = 662.27 × 197.75
  4. Step 4: Simplify right side
    441.39x = 130,963.89
  5. Step 5: Solve for x
    x = 130,963.89/441.39
  6. Step 6: Final answer
    x = 296.71

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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.