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Finding the Fourth Proportional to 660.24, 989.67 and 270.09

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Solution

The fourth proportional to 660.24, 989.67 and 270.09 is: 404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.24 : 989.67 = 270.09 : x
  2. Step 2: Convert to fraction form
    660.24/989.67 = 270.09/x
  3. Step 3: Cross multiply
    660.24x = 989.67 × 270.09
  4. Step 4: Simplify right side
    660.24x = 267,299.97
  5. Step 5: Solve for x
    x = 267,299.97/660.24
  6. Step 6: Final answer
    x = 404.85

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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.