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Finding the Fourth Proportional to 386.90, 580.46 and 113.02

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Solution

The fourth proportional to 386.90, 580.46 and 113.02 is: 169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.90 : 580.46 = 113.02 : x
  2. Step 2: Convert to fraction form
    386.90/580.46 = 113.02/x
  3. Step 3: Cross multiply
    386.90x = 580.46 × 113.02
  4. Step 4: Simplify right side
    386.90x = 65,601.57
  5. Step 5: Solve for x
    x = 65,601.57/386.90
  6. Step 6: Final answer
    x = 169.56

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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.