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Finding the Fourth Proportional to 378.72, 522.96 and 254.43

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Solution

The fourth proportional to 378.72, 522.96 and 254.43 is: 351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.72 : 522.96 = 254.43 : x
  2. Step 2: Convert to fraction form
    378.72/522.96 = 254.43/x
  3. Step 3: Cross multiply
    378.72x = 522.96 × 254.43
  4. Step 4: Simplify right side
    378.72x = 133,056.71
  5. Step 5: Solve for x
    x = 133,056.71/378.72
  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.