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Finding the Fourth Proportional to 378.50, 522.17 and 254.20

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Solution

The fourth proportional to 378.50, 522.17 and 254.20 is: 350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 522.17 = 254.20 : x
  2. Step 2: Convert to fraction form
    378.50/522.17 = 254.20/x
  3. Step 3: Cross multiply
    378.50x = 522.17 × 254.20
  4. Step 4: Simplify right side
    378.50x = 132,735.61
  5. Step 5: Solve for x
    x = 132,735.61/378.50
  6. Step 6: Final answer
    x = 350.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.