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Finding the Fourth Proportional to 411.58, 617.37 and 137.74

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Solution

The fourth proportional to 411.58, 617.37 and 137.74 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.58 : 617.37 = 137.74 : x
  2. Step 2: Convert to fraction form
    411.58/617.37 = 137.74/x
  3. Step 3: Cross multiply
    411.58x = 617.37 × 137.74
  4. Step 4: Simplify right side
    411.58x = 85,036.54
  5. Step 5: Solve for x
    x = 85,036.54/411.58
  6. Step 6: Final answer
    x = 206.61

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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.