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Finding the Fourth Proportional to 296.75, 408.69 and 272.25

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Solution

The fourth proportional to 296.75, 408.69 and 272.25 is: 374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.75 : 408.69 = 272.25 : x
  2. Step 2: Convert to fraction form
    296.75/408.69 = 272.25/x
  3. Step 3: Cross multiply
    296.75x = 408.69 × 272.25
  4. Step 4: Simplify right side
    296.75x = 111,265.85
  5. Step 5: Solve for x
    x = 111,265.85/296.75
  6. Step 6: Final answer
    x = 374.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.