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Finding the Fourth Proportional to 378.96, 522.90 and 213.14

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Solution

The fourth proportional to 378.96, 522.90 and 213.14 is: 294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.96 : 522.90 = 213.14 : x
  2. Step 2: Convert to fraction form
    378.96/522.90 = 213.14/x
  3. Step 3: Cross multiply
    378.96x = 522.90 × 213.14
  4. Step 4: Simplify right side
    378.96x = 111,448.29
  5. Step 5: Solve for x
    x = 111,448.29/378.96
  6. Step 6: Final answer
    x = 294.09

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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.