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Finding the Fourth Proportional to 424.56, 636.30 and 180.78

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Solution

The fourth proportional to 424.56, 636.30 and 180.78 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.56 : 636.30 = 180.78 : x
  2. Step 2: Convert to fraction form
    424.56/636.30 = 180.78/x
  3. Step 3: Cross multiply
    424.56x = 636.30 × 180.78
  4. Step 4: Simplify right side
    424.56x = 115,030.31
  5. Step 5: Solve for x
    x = 115,030.31/424.56
  6. Step 6: Final answer
    x = 270.94

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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.