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Finding the Fourth Proportional to 391.27, 539.96 and 214.24

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Solution

The fourth proportional to 391.27, 539.96 and 214.24 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.27 : 539.96 = 214.24 : x
  2. Step 2: Convert to fraction form
    391.27/539.96 = 214.24/x
  3. Step 3: Cross multiply
    391.27x = 539.96 × 214.24
  4. Step 4: Simplify right side
    391.27x = 115,681.03
  5. Step 5: Solve for x
    x = 115,681.03/391.27
  6. Step 6: Final answer
    x = 295.66

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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.