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Finding the Fourth Proportional to 378.86, 522.80 and 213.03

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Solution

The fourth proportional to 378.86, 522.80 and 213.03 is: 293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.86 : 522.80 = 213.03 : x
  2. Step 2: Convert to fraction form
    378.86/522.80 = 213.03/x
  3. Step 3: Cross multiply
    378.86x = 522.80 × 213.03
  4. Step 4: Simplify right side
    378.86x = 111,371.02
  5. Step 5: Solve for x
    x = 111,371.02/378.86
  6. Step 6: Final answer
    x = 293.97

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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.