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Finding the Fourth Proportional to 423.64, 635.56 and 180.22

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Solution

The fourth proportional to 423.64, 635.56 and 180.22 is: 270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 635.56 = 180.22 : x
  2. Step 2: Convert to fraction form
    423.64/635.56 = 180.22/x
  3. Step 3: Cross multiply
    423.64x = 635.56 × 180.22
  4. Step 4: Simplify right side
    423.64x = 114,540.62
  5. Step 5: Solve for x
    x = 114,540.62/423.64
  6. Step 6: Final answer
    x = 270.37

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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.