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Finding the Fourth Proportional to 411.49, 617.49 and 180.50

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Solution

The fourth proportional to 411.49, 617.49 and 180.50 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.49 : 617.49 = 180.50 : x
  2. Step 2: Convert to fraction form
    411.49/617.49 = 180.50/x
  3. Step 3: Cross multiply
    411.49x = 617.49 × 180.50
  4. Step 4: Simplify right side
    411.49x = 111,453.86
  5. Step 5: Solve for x
    x = 111,453.86/411.49
  6. Step 6: Final answer
    x = 270.85

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Double scale
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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.