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Finding the Fourth Proportional to 386.87, 580.42 and 112.98

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Solution

The fourth proportional to 386.87, 580.42 and 112.98 is: 169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.87 : 580.42 = 112.98 : x
  2. Step 2: Convert to fraction form
    386.87/580.42 = 112.98/x
  3. Step 3: Cross multiply
    386.87x = 580.42 × 112.98
  4. Step 4: Simplify right side
    386.87x = 65,575.85
  5. Step 5: Solve for x
    x = 65,575.85/386.87
  6. Step 6: Final answer
    x = 169.50

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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.