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Finding the Fourth Proportional to 378.80, 523.08 and 254.42

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Solution

The fourth proportional to 378.80, 523.08 and 254.42 is: 351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.80 : 523.08 = 254.42 : x
  2. Step 2: Convert to fraction form
    378.80/523.08 = 254.42/x
  3. Step 3: Cross multiply
    378.80x = 523.08 × 254.42
  4. Step 4: Simplify right side
    378.80x = 133,082.01
  5. Step 5: Solve for x
    x = 133,082.01/378.80
  6. Step 6: Final answer
    x = 351.33

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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.