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Finding the Fourth Proportional to 386.92, 580.38 and 130.42

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Solution

The fourth proportional to 386.92, 580.38 and 130.42 is: 195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.92 : 580.38 = 130.42 : x
  2. Step 2: Convert to fraction form
    386.92/580.38 = 130.42/x
  3. Step 3: Cross multiply
    386.92x = 580.38 × 130.42
  4. Step 4: Simplify right side
    386.92x = 75,689.61
  5. Step 5: Solve for x
    x = 75,689.61/386.92
  6. Step 6: Final answer
    x = 195.62

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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.