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Finding the Fourth Proportional to 440.49, 660.99 and 180.44

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Solution

The fourth proportional to 440.49, 660.99 and 180.44 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.49 : 660.99 = 180.44 : x
  2. Step 2: Convert to fraction form
    440.49/660.99 = 180.44/x
  3. Step 3: Cross multiply
    440.49x = 660.99 × 180.44
  4. Step 4: Simplify right side
    440.49x = 119,265.73
  5. Step 5: Solve for x
    x = 119,265.73/440.49
  6. Step 6: Final answer
    x = 270.76

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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.