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Finding the Fourth Proportional to 394.20, 543.62 and 254.36

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Solution

The fourth proportional to 394.20, 543.62 and 254.36 is: 350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 543.62 = 254.36 : x
  2. Step 2: Convert to fraction form
    394.20/543.62 = 254.36/x
  3. Step 3: Cross multiply
    394.20x = 543.62 × 254.36
  4. Step 4: Simplify right side
    394.20x = 138,273.91
  5. Step 5: Solve for x
    x = 138,273.91/394.20
  6. Step 6: Final answer
    x = 350.77

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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.