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Finding the Fourth Proportional to 441.19, 661.35 and 197.89

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Solution

The fourth proportional to 441.19, 661.35 and 197.89 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.19 : 661.35 = 197.89 : x
  2. Step 2: Convert to fraction form
    441.19/661.35 = 197.89/x
  3. Step 3: Cross multiply
    441.19x = 661.35 × 197.89
  4. Step 4: Simplify right side
    441.19x = 130,874.55
  5. Step 5: Solve for x
    x = 130,874.55/441.19
  6. Step 6: Final answer
    x = 296.64

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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.