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Finding the Fourth Proportional to 394.04, 544.06 and 254.24

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Solution

The fourth proportional to 394.04, 544.06 and 254.24 is: 351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.04 : 544.06 = 254.24 : x
  2. Step 2: Convert to fraction form
    394.04/544.06 = 254.24/x
  3. Step 3: Cross multiply
    394.04x = 544.06 × 254.24
  4. Step 4: Simplify right side
    394.04x = 138,321.42
  5. Step 5: Solve for x
    x = 138,321.42/394.04
  6. Step 6: Final answer
    x = 351.04

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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.