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Finding the Fourth Proportional to 389.87, 584.55 and 194.63

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Solution

The fourth proportional to 389.87, 584.55 and 194.63 is: 291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.87 : 584.55 = 194.63 : x
  2. Step 2: Convert to fraction form
    389.87/584.55 = 194.63/x
  3. Step 3: Cross multiply
    389.87x = 584.55 × 194.63
  4. Step 4: Simplify right side
    389.87x = 113,770.97
  5. Step 5: Solve for x
    x = 113,770.97/389.87
  6. Step 6: Final answer
    x = 291.82

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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.