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Finding the Fourth Proportional to 378.91, 522.97 and 213.18

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Solution

The fourth proportional to 378.91, 522.97 and 213.18 is: 294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.91 : 522.97 = 213.18 : x
  2. Step 2: Convert to fraction form
    378.91/522.97 = 213.18/x
  3. Step 3: Cross multiply
    378.91x = 522.97 × 213.18
  4. Step 4: Simplify right side
    378.91x = 111,484.86
  5. Step 5: Solve for x
    x = 111,484.86/378.91
  6. Step 6: Final answer
    x = 294.23

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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.