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Finding the Fourth Proportional to 379.15, 523.15 and 213.34

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Solution

The fourth proportional to 379.15, 523.15 and 213.34 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.15 : 523.15 = 213.34 : x
  2. Step 2: Convert to fraction form
    379.15/523.15 = 213.34/x
  3. Step 3: Cross multiply
    379.15x = 523.15 × 213.34
  4. Step 4: Simplify right side
    379.15x = 111,608.82
  5. Step 5: Solve for x
    x = 111,608.82/379.15
  6. Step 6: Final answer
    x = 294.37

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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.