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Finding the Fourth Proportional to 444.92, 667.38 and 120.32

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Solution

The fourth proportional to 444.92, 667.38 and 120.32 is: 180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.92 : 667.38 = 120.32 : x
  2. Step 2: Convert to fraction form
    444.92/667.38 = 120.32/x
  3. Step 3: Cross multiply
    444.92x = 667.38 × 120.32
  4. Step 4: Simplify right side
    444.92x = 80,299.16
  5. Step 5: Solve for x
    x = 80,299.16/444.92
  6. Step 6: Final answer
    x = 180.48

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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.