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Finding the Fourth Proportional to 411.39, 617.21 and 194.67

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Solution

The fourth proportional to 411.39, 617.21 and 194.67 is: 292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.39 : 617.21 = 194.67 : x
  2. Step 2: Convert to fraction form
    411.39/617.21 = 194.67/x
  3. Step 3: Cross multiply
    411.39x = 617.21 × 194.67
  4. Step 4: Simplify right side
    411.39x = 120,151.30
  5. Step 5: Solve for x
    x = 120,151.30/411.39
  6. Step 6: Final answer
    x = 292.06

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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.