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Finding the Fourth Proportional to 423.92, 635.92 and 180.47

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Solution

The fourth proportional to 423.92, 635.92 and 180.47 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.92 : 635.92 = 180.47 : x
  2. Step 2: Convert to fraction form
    423.92/635.92 = 180.47/x
  3. Step 3: Cross multiply
    423.92x = 635.92 × 180.47
  4. Step 4: Simplify right side
    423.92x = 114,760.85
  5. Step 5: Solve for x
    x = 114,760.85/423.92
  6. Step 6: Final answer
    x = 270.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.