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Finding the Fourth Proportional to 411.86, 617.17 and 180.53

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Solution

The fourth proportional to 411.86, 617.17 and 180.53 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.86 : 617.17 = 180.53 : x
  2. Step 2: Convert to fraction form
    411.86/617.17 = 180.53/x
  3. Step 3: Cross multiply
    411.86x = 617.17 × 180.53
  4. Step 4: Simplify right side
    411.86x = 111,417.70
  5. Step 5: Solve for x
    x = 111,417.70/411.86
  6. Step 6: Final answer
    x = 270.52

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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.