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Finding the Fourth Proportional to 378.99, 522.92 and 231.50

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Solution

The fourth proportional to 378.99, 522.92 and 231.50 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.99 : 522.92 = 231.50 : x
  2. Step 2: Convert to fraction form
    378.99/522.92 = 231.50/x
  3. Step 3: Cross multiply
    378.99x = 522.92 × 231.50
  4. Step 4: Simplify right side
    378.99x = 121,057.87
  5. Step 5: Solve for x
    x = 121,057.87/378.99
  6. Step 6: Final answer
    x = 319.42

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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.