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Finding the Fourth Proportional to 424.09, 636.41 and 180.62

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Solution

The fourth proportional to 424.09, 636.41 and 180.62 is: 271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.09 : 636.41 = 180.62 : x
  2. Step 2: Convert to fraction form
    424.09/636.41 = 180.62/x
  3. Step 3: Cross multiply
    424.09x = 636.41 × 180.62
  4. Step 4: Simplify right side
    424.09x = 114,944.29
  5. Step 5: Solve for x
    x = 114,944.29/424.09
  6. Step 6: Final answer
    x = 271.04

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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.