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Finding the Fourth Proportional to 378.77, 522.96 and 254.57

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Solution

The fourth proportional to 378.77, 522.96 and 254.57 is: 351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.77 : 522.96 = 254.57 : x
  2. Step 2: Convert to fraction form
    378.77/522.96 = 254.57/x
  3. Step 3: Cross multiply
    378.77x = 522.96 × 254.57
  4. Step 4: Simplify right side
    378.77x = 133,129.93
  5. Step 5: Solve for x
    x = 133,129.93/378.77
  6. Step 6: Final answer
    x = 351.48

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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.