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Finding the Fourth Proportional to 378.43, 522.26 and 210.38

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Solution

The fourth proportional to 378.43, 522.26 and 210.38 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.43 : 522.26 = 210.38 : x
  2. Step 2: Convert to fraction form
    378.43/522.26 = 210.38/x
  3. Step 3: Cross multiply
    378.43x = 522.26 × 210.38
  4. Step 4: Simplify right side
    378.43x = 109,874.73
  5. Step 5: Solve for x
    x = 109,874.73/378.43
  6. Step 6: Final answer
    x = 290.34

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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.