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Finding the Fourth Proportional to 393.91, 591.20 and 272.25

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Solution

The fourth proportional to 393.91, 591.20 and 272.25 is: 408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.91 : 591.20 = 272.25 : x
  2. Step 2: Convert to fraction form
    393.91/591.20 = 272.25/x
  3. Step 3: Cross multiply
    393.91x = 591.20 × 272.25
  4. Step 4: Simplify right side
    393.91x = 160,952.84
  5. Step 5: Solve for x
    x = 160,952.84/393.91
  6. Step 6: Final answer
    x = 408.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.