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Finding the Fourth Proportional to 389.60, 584.41 and 129.62

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Solution

The fourth proportional to 389.60, 584.41 and 129.62 is: 194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.60 : 584.41 = 129.62 : x
  2. Step 2: Convert to fraction form
    389.60/584.41 = 129.62/x
  3. Step 3: Cross multiply
    389.60x = 584.41 × 129.62
  4. Step 4: Simplify right side
    389.60x = 75,747.98
  5. Step 5: Solve for x
    x = 75,747.98/389.60
  6. Step 6: Final answer
    x = 194.43

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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.