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Finding the Fourth Proportional to 412.09, 617.91 and 138.04

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Solution

The fourth proportional to 412.09, 617.91 and 138.04 is: 206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.09 : 617.91 = 138.04 : x
  2. Step 2: Convert to fraction form
    412.09/617.91 = 138.04/x
  3. Step 3: Cross multiply
    412.09x = 617.91 × 138.04
  4. Step 4: Simplify right side
    412.09x = 85,296.30
  5. Step 5: Solve for x
    x = 85,296.30/412.09
  6. Step 6: Final answer
    x = 206.98

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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.