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Finding the Fourth Proportional to 387.27, 580.08 and 278.73

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Solution

The fourth proportional to 387.27, 580.08 and 278.73 is: 417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.27 : 580.08 = 278.73 : x
  2. Step 2: Convert to fraction form
    387.27/580.08 = 278.73/x
  3. Step 3: Cross multiply
    387.27x = 580.08 × 278.73
  4. Step 4: Simplify right side
    387.27x = 161,685.70
  5. Step 5: Solve for x
    x = 161,685.70/387.27
  6. Step 6: Final answer
    x = 417.50

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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.