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Finding the Fourth Proportional to 411.85, 617.23 and 195.22

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Solution

The fourth proportional to 411.85, 617.23 and 195.22 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.85 : 617.23 = 195.22 : x
  2. Step 2: Convert to fraction form
    411.85/617.23 = 195.22/x
  3. Step 3: Cross multiply
    411.85x = 617.23 × 195.22
  4. Step 4: Simplify right side
    411.85x = 120,495.64
  5. Step 5: Solve for x
    x = 120,495.64/411.85
  6. Step 6: Final answer
    x = 292.57

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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.