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Finding the Fourth Proportional to 411.64, 617.31 and 180.46

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Solution

The fourth proportional to 411.64, 617.31 and 180.46 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.64 : 617.31 = 180.46 : x
  2. Step 2: Convert to fraction form
    411.64/617.31 = 180.46/x
  3. Step 3: Cross multiply
    411.64x = 617.31 × 180.46
  4. Step 4: Simplify right side
    411.64x = 111,400.53
  5. Step 5: Solve for x
    x = 111,400.53/411.64
  6. Step 6: Final answer
    x = 270.63

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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.