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Finding the Fourth Proportional to 379.63, 523.86 and 213.82

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Solution

The fourth proportional to 379.63, 523.86 and 213.82 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.63 : 523.86 = 213.82 : x
  2. Step 2: Convert to fraction form
    379.63/523.86 = 213.82/x
  3. Step 3: Cross multiply
    379.63x = 523.86 × 213.82
  4. Step 4: Simplify right side
    379.63x = 112,011.75
  5. Step 5: Solve for x
    x = 112,011.75/379.63
  6. Step 6: Final answer
    x = 295.06

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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.