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Finding the Fourth Proportional to 394.26, 543.76 and 254.40

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Solution

The fourth proportional to 394.26, 543.76 and 254.40 is: 350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.26 : 543.76 = 254.40 : x
  2. Step 2: Convert to fraction form
    394.26/543.76 = 254.40/x
  3. Step 3: Cross multiply
    394.26x = 543.76 × 254.40
  4. Step 4: Simplify right side
    394.26x = 138,332.54
  5. Step 5: Solve for x
    x = 138,332.54/394.26
  6. Step 6: Final answer
    x = 350.87

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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.