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Finding the Fourth Proportional to 378.46, 522.32 and 231.20

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Solution

The fourth proportional to 378.46, 522.32 and 231.20 is: 319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.46 : 522.32 = 231.20 : x
  2. Step 2: Convert to fraction form
    378.46/522.32 = 231.20/x
  3. Step 3: Cross multiply
    378.46x = 522.32 × 231.20
  4. Step 4: Simplify right side
    378.46x = 120,756.62
  5. Step 5: Solve for x
    x = 120,756.62/378.46
  6. Step 6: Final answer
    x = 319.07

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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.