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Finding the Fourth Proportional to 488.80, 733.17 and 180.60

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Solution

The fourth proportional to 488.80, 733.17 and 180.60 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.80 : 733.17 = 180.60 : x
  2. Step 2: Convert to fraction form
    488.80/733.17 = 180.60/x
  3. Step 3: Cross multiply
    488.80x = 733.17 × 180.60
  4. Step 4: Simplify right side
    488.80x = 132,405.93
  5. Step 5: Solve for x
    x = 132,405.93/488.80
  6. Step 6: Final answer
    x = 270.88

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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.