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Finding the Fourth Proportional to 411.33, 617.01 and 194.85

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Solution

The fourth proportional to 411.33, 617.01 and 194.85 is: 292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.33 : 617.01 = 194.85 : x
  2. Step 2: Convert to fraction form
    411.33/617.01 = 194.85/x
  3. Step 3: Cross multiply
    411.33x = 617.01 × 194.85
  4. Step 4: Simplify right side
    411.33x = 120,224.40
  5. Step 5: Solve for x
    x = 120,224.40/411.33
  6. Step 6: Final answer
    x = 292.28

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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.