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Finding the Fourth Proportional to 424.12, 635.82 and 180.80

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Solution

The fourth proportional to 424.12, 635.82 and 180.80 is: 271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.12 : 635.82 = 180.80 : x
  2. Step 2: Convert to fraction form
    424.12/635.82 = 180.80/x
  3. Step 3: Cross multiply
    424.12x = 635.82 × 180.80
  4. Step 4: Simplify right side
    424.12x = 114,956.26
  5. Step 5: Solve for x
    x = 114,956.26/424.12
  6. Step 6: Final answer
    x = 271.05

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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.