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Finding the Fourth Proportional to 379.10, 523.13 and 213.28

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Solution

The fourth proportional to 379.10, 523.13 and 213.28 is: 294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.10 : 523.13 = 213.28 : x
  2. Step 2: Convert to fraction form
    379.10/523.13 = 213.28/x
  3. Step 3: Cross multiply
    379.10x = 523.13 × 213.28
  4. Step 4: Simplify right side
    379.10x = 111,570.79
  5. Step 5: Solve for x
    x = 111,570.79/379.10
  6. Step 6: Final answer
    x = 294.30

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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.