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Finding the Fourth Proportional to 387.37, 580.38 and 204.85

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Solution

The fourth proportional to 387.37, 580.38 and 204.85 is: 306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.37 : 580.38 = 204.85 : x
  2. Step 2: Convert to fraction form
    387.37/580.38 = 204.85/x
  3. Step 3: Cross multiply
    387.37x = 580.38 × 204.85
  4. Step 4: Simplify right side
    387.37x = 118,890.84
  5. Step 5: Solve for x
    x = 118,890.84/387.37
  6. Step 6: Final answer
    x = 306.92

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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.