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Finding the Fourth Proportional to 378.64, 522.49 and 231.24

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Solution

The fourth proportional to 378.64, 522.49 and 231.24 is: 319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 522.49 = 231.24 : x
  2. Step 2: Convert to fraction form
    378.64/522.49 = 231.24/x
  3. Step 3: Cross multiply
    378.64x = 522.49 × 231.24
  4. Step 4: Simplify right side
    378.64x = 120,821.97
  5. Step 5: Solve for x
    x = 120,821.97/378.64
  6. Step 6: Final answer
    x = 319.10

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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.