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Finding the Fourth Proportional to 378.74, 523.11 and 254.21

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Solution

The fourth proportional to 378.74, 523.11 and 254.21 is: 351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 523.11 = 254.21 : x
  2. Step 2: Convert to fraction form
    378.74/523.11 = 254.21/x
  3. Step 3: Cross multiply
    378.74x = 523.11 × 254.21
  4. Step 4: Simplify right side
    378.74x = 132,979.79
  5. Step 5: Solve for x
    x = 132,979.79/378.74
  6. Step 6: Final answer
    x = 351.11

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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.