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Finding the Fourth Proportional to 378.46, 522.41 and 300.09

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Solution

The fourth proportional to 378.46, 522.41 and 300.09 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.46 : 522.41 = 300.09 : x
  2. Step 2: Convert to fraction form
    378.46/522.41 = 300.09/x
  3. Step 3: Cross multiply
    378.46x = 522.41 × 300.09
  4. Step 4: Simplify right side
    378.46x = 156,770.02
  5. Step 5: Solve for x
    x = 156,770.02/378.46
  6. Step 6: Final answer
    x = 414.23

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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.