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Finding the Fourth Proportional to 394.99, 544.85 and 255.06

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Solution

The fourth proportional to 394.99, 544.85 and 255.06 is: 351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.99 : 544.85 = 255.06 : x
  2. Step 2: Convert to fraction form
    394.99/544.85 = 255.06/x
  3. Step 3: Cross multiply
    394.99x = 544.85 × 255.06
  4. Step 4: Simplify right side
    394.99x = 138,969.44
  5. Step 5: Solve for x
    x = 138,969.44/394.99
  6. Step 6: Final answer
    x = 351.83

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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.