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Finding the Fourth Proportional to 394.13, 543.71 and 254.17

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Solution

The fourth proportional to 394.13, 543.71 and 254.17 is: 350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.13 : 543.71 = 254.17 : x
  2. Step 2: Convert to fraction form
    394.13/543.71 = 254.17/x
  3. Step 3: Cross multiply
    394.13x = 543.71 × 254.17
  4. Step 4: Simplify right side
    394.13x = 138,195.93
  5. Step 5: Solve for x
    x = 138,195.93/394.13
  6. Step 6: Final answer
    x = 350.64

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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.