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Finding the Fourth Proportional to 389.43, 584.17 and 115.52

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Solution

The fourth proportional to 389.43, 584.17 and 115.52 is: 173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.43 : 584.17 = 115.52 : x
  2. Step 2: Convert to fraction form
    389.43/584.17 = 115.52/x
  3. Step 3: Cross multiply
    389.43x = 584.17 × 115.52
  4. Step 4: Simplify right side
    389.43x = 67,482.30
  5. Step 5: Solve for x
    x = 67,482.30/389.43
  6. Step 6: Final answer
    x = 173.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.