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Finding the Fourth Proportional to 386.97, 580.29 and 113.00

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Solution

The fourth proportional to 386.97, 580.29 and 113.00 is: 169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.97 : 580.29 = 113.00 : x
  2. Step 2: Convert to fraction form
    386.97/580.29 = 113.00/x
  3. Step 3: Cross multiply
    386.97x = 580.29 × 113.00
  4. Step 4: Simplify right side
    386.97x = 65,569.44
  5. Step 5: Solve for x
    x = 65,569.44/386.97
  6. Step 6: Final answer
    x = 169.44

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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.