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Finding the Fourth Proportional to 379.61, 523.91 and 213.83

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Solution

The fourth proportional to 379.61, 523.91 and 213.83 is: 295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.61 : 523.91 = 213.83 : x
  2. Step 2: Convert to fraction form
    379.61/523.91 = 213.83/x
  3. Step 3: Cross multiply
    379.61x = 523.91 × 213.83
  4. Step 4: Simplify right side
    379.61x = 112,025.30
  5. Step 5: Solve for x
    x = 112,025.30/379.61
  6. Step 6: Final answer
    x = 295.11

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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.