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Finding the Fourth Proportional to 437.20, 655.76 and 180.52

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Solution

The fourth proportional to 437.20, 655.76 and 180.52 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.20 : 655.76 = 180.52 : x
  2. Step 2: Convert to fraction form
    437.20/655.76 = 180.52/x
  3. Step 3: Cross multiply
    437.20x = 655.76 × 180.52
  4. Step 4: Simplify right side
    437.20x = 118,377.80
  5. Step 5: Solve for x
    x = 118,377.80/437.20
  6. Step 6: Final answer
    x = 270.76

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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.