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Finding the Fourth Proportional to 272.36, 408.86 and 257.96

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Solution

The fourth proportional to 272.36, 408.86 and 257.96 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.36 : 408.86 = 257.96 : x
  2. Step 2: Convert to fraction form
    272.36/408.86 = 257.96/x
  3. Step 3: Cross multiply
    272.36x = 408.86 × 257.96
  4. Step 4: Simplify right side
    272.36x = 105,469.53
  5. Step 5: Solve for x
    x = 105,469.53/272.36
  6. Step 6: Final answer
    x = 387.24

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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.