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Finding the Fourth Proportional to 272.59, 408.92 and 235.66

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Solution

The fourth proportional to 272.59, 408.92 and 235.66 is: 353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.59 : 408.92 = 235.66 : x
  2. Step 2: Convert to fraction form
    272.59/408.92 = 235.66/x
  3. Step 3: Cross multiply
    272.59x = 408.92 × 235.66
  4. Step 4: Simplify right side
    272.59x = 96,366.09
  5. Step 5: Solve for x
    x = 96,366.09/272.59
  6. Step 6: Final answer
    x = 353.52

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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.