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Finding the Fourth Proportional to 386.92, 580.22 and 204.20

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Solution

The fourth proportional to 386.92, 580.22 and 204.20 is: 306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.92 : 580.22 = 204.20 : x
  2. Step 2: Convert to fraction form
    386.92/580.22 = 204.20/x
  3. Step 3: Cross multiply
    386.92x = 580.22 × 204.20
  4. Step 4: Simplify right side
    386.92x = 118,480.92
  5. Step 5: Solve for x
    x = 118,480.92/386.92
  6. Step 6: Final answer
    x = 306.22

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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.