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Finding the Fourth Proportional to 296.24, 408.97 and 272.82

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Solution

The fourth proportional to 296.24, 408.97 and 272.82 is: 376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 408.97 = 272.82 : x
  2. Step 2: Convert to fraction form
    296.24/408.97 = 272.82/x
  3. Step 3: Cross multiply
    296.24x = 408.97 × 272.82
  4. Step 4: Simplify right side
    296.24x = 111,575.20
  5. Step 5: Solve for x
    x = 111,575.20/296.24
  6. Step 6: Final answer
    x = 376.64

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