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Finding the Fourth Proportional to 394.36, 543.94 and 254.48

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Solution

The fourth proportional to 394.36, 543.94 and 254.48 is: 351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.36 : 543.94 = 254.48 : x
  2. Step 2: Convert to fraction form
    394.36/543.94 = 254.48/x
  3. Step 3: Cross multiply
    394.36x = 543.94 × 254.48
  4. Step 4: Simplify right side
    394.36x = 138,421.85
  5. Step 5: Solve for x
    x = 138,421.85/394.36
  6. Step 6: Final answer
    x = 351.00

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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.