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Finding the Fourth Proportional to 387.96, 580.96 and 272.52

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Solution

The fourth proportional to 387.96, 580.96 and 272.52 is: 408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.96 : 580.96 = 272.52 : x
  2. Step 2: Convert to fraction form
    387.96/580.96 = 272.52/x
  3. Step 3: Cross multiply
    387.96x = 580.96 × 272.52
  4. Step 4: Simplify right side
    387.96x = 158,323.22
  5. Step 5: Solve for x
    x = 158,323.22/387.96
  6. Step 6: Final answer
    x = 408.09

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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.