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Finding the Fourth Proportional to 378.88, 522.82 and 231.49

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Solution

The fourth proportional to 378.88, 522.82 and 231.49 is: 319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.88 : 522.82 = 231.49 : x
  2. Step 2: Convert to fraction form
    378.88/522.82 = 231.49/x
  3. Step 3: Cross multiply
    378.88x = 522.82 × 231.49
  4. Step 4: Simplify right side
    378.88x = 121,028.54
  5. Step 5: Solve for x
    x = 121,028.54/378.88
  6. Step 6: Final answer
    x = 319.44

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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.