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Finding the Fourth Proportional to 378.82, 522.74 and 231.44

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Solution

The fourth proportional to 378.82, 522.74 and 231.44 is: 319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.82 : 522.74 = 231.44 : x
  2. Step 2: Convert to fraction form
    378.82/522.74 = 231.44/x
  3. Step 3: Cross multiply
    378.82x = 522.74 × 231.44
  4. Step 4: Simplify right side
    378.82x = 120,980.91
  5. Step 5: Solve for x
    x = 120,980.91/378.82
  6. Step 6: Final answer
    x = 319.36

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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.