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Finding the Fourth Proportional to 424.20, 635.86 and 180.52

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Solution

The fourth proportional to 424.20, 635.86 and 180.52 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.20 : 635.86 = 180.52 : x
  2. Step 2: Convert to fraction form
    424.20/635.86 = 180.52/x
  3. Step 3: Cross multiply
    424.20x = 635.86 × 180.52
  4. Step 4: Simplify right side
    424.20x = 114,785.45
  5. Step 5: Solve for x
    x = 114,785.45/424.20
  6. Step 6: Final answer
    x = 270.59

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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.