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Finding the Fourth Proportional to 378.80, 522.64 and 323.44

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Solution

The fourth proportional to 378.80, 522.64 and 323.44 is: 446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.80 : 522.64 = 323.44 : x
  2. Step 2: Convert to fraction form
    378.80/522.64 = 323.44/x
  3. Step 3: Cross multiply
    378.80x = 522.64 × 323.44
  4. Step 4: Simplify right side
    378.80x = 169,042.68
  5. Step 5: Solve for x
    x = 169,042.68/378.80
  6. Step 6: Final answer
    x = 446.26

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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.