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Finding the Fourth Proportional to 386.97, 580.45 and 113.08

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Solution

The fourth proportional to 386.97, 580.45 and 113.08 is: 169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.97 : 580.45 = 113.08 : x
  2. Step 2: Convert to fraction form
    386.97/580.45 = 113.08/x
  3. Step 3: Cross multiply
    386.97x = 580.45 × 113.08
  4. Step 4: Simplify right side
    386.97x = 65,636.85
  5. Step 5: Solve for x
    x = 65,636.85/386.97
  6. Step 6: Final answer
    x = 169.62

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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.