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Finding the Fourth Proportional to 378.96, 522.66 and 254.58

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Solution

The fourth proportional to 378.96, 522.66 and 254.58 is: 351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.96 : 522.66 = 254.58 : x
  2. Step 2: Convert to fraction form
    378.96/522.66 = 254.58/x
  3. Step 3: Cross multiply
    378.96x = 522.66 × 254.58
  4. Step 4: Simplify right side
    378.96x = 133,058.78
  5. Step 5: Solve for x
    x = 133,058.78/378.96
  6. Step 6: Final answer
    x = 351.12

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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.