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Finding the Fourth Proportional to 378.95, 523.23 and 231.78

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Solution

The fourth proportional to 378.95, 523.23 and 231.78 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.95 : 523.23 = 231.78 : x
  2. Step 2: Convert to fraction form
    378.95/523.23 = 231.78/x
  3. Step 3: Cross multiply
    378.95x = 523.23 × 231.78
  4. Step 4: Simplify right side
    378.95x = 121,272.40
  5. Step 5: Solve for x
    x = 121,272.40/378.95
  6. Step 6: Final answer
    x = 320.03

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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.