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Finding the Fourth Proportional to 441.60, 661.44 and 270.24

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Solution

The fourth proportional to 441.60, 661.44 and 270.24 is: 404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 661.44 = 270.24 : x
  2. Step 2: Convert to fraction form
    441.60/661.44 = 270.24/x
  3. Step 3: Cross multiply
    441.60x = 661.44 × 270.24
  4. Step 4: Simplify right side
    441.60x = 178,747.55
  5. Step 5: Solve for x
    x = 178,747.55/441.60
  6. Step 6: Final answer
    x = 404.77

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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.