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Finding the Fourth Proportional to 378.60, 522.72 and 254.43

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Solution

The fourth proportional to 378.60, 522.72 and 254.43 is: 351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.60 : 522.72 = 254.43 : x
  2. Step 2: Convert to fraction form
    378.60/522.72 = 254.43/x
  3. Step 3: Cross multiply
    378.60x = 522.72 × 254.43
  4. Step 4: Simplify right side
    378.60x = 132,995.65
  5. Step 5: Solve for x
    x = 132,995.65/378.60
  6. Step 6: Final answer
    x = 351.28

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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.