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Finding the Fourth Proportional to 387.11, 580.16 and 204.46

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Solution

The fourth proportional to 387.11, 580.16 and 204.46 is: 306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.11 : 580.16 = 204.46 : x
  2. Step 2: Convert to fraction form
    387.11/580.16 = 204.46/x
  3. Step 3: Cross multiply
    387.11x = 580.16 × 204.46
  4. Step 4: Simplify right side
    387.11x = 118,618.57
  5. Step 5: Solve for x
    x = 118,618.57/387.11
  6. Step 6: Final answer
    x = 306.42

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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.