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Finding the Fourth Proportional to 378.54, 522.71 and 231.41

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Solution

The fourth proportional to 378.54, 522.71 and 231.41 is: 319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.54 : 522.71 = 231.41 : x
  2. Step 2: Convert to fraction form
    378.54/522.71 = 231.41/x
  3. Step 3: Cross multiply
    378.54x = 522.71 × 231.41
  4. Step 4: Simplify right side
    378.54x = 120,956.55
  5. Step 5: Solve for x
    x = 120,956.55/378.54
  6. Step 6: Final answer
    x = 319.53

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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.