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Finding the Fourth Proportional to 379.53, 523.74 and 213.78

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Solution

The fourth proportional to 379.53, 523.74 and 213.78 is: 295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.53 : 523.74 = 213.78 : x
  2. Step 2: Convert to fraction form
    379.53/523.74 = 213.78/x
  3. Step 3: Cross multiply
    379.53x = 523.74 × 213.78
  4. Step 4: Simplify right side
    379.53x = 111,965.14
  5. Step 5: Solve for x
    x = 111,965.14/379.53
  6. Step 6: Final answer
    x = 295.01

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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.