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Finding the Fourth Proportional to 411.82, 617.20 and 180.56

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Solution

The fourth proportional to 411.82, 617.20 and 180.56 is: 270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.82 : 617.20 = 180.56 : x
  2. Step 2: Convert to fraction form
    411.82/617.20 = 180.56/x
  3. Step 3: Cross multiply
    411.82x = 617.20 × 180.56
  4. Step 4: Simplify right side
    411.82x = 111,441.63
  5. Step 5: Solve for x
    x = 111,441.63/411.82
  6. Step 6: Final answer
    x = 270.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.