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Finding the Fourth Proportional to 379, 523.16 and 223.75

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Solution

The fourth proportional to 379, 523.16 and 223.75 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379 : 523.16 = 223.75 : x
  2. Step 2: Convert to fraction form
    379/523.16 = 223.75/x
  3. Step 3: Cross multiply
    379x = 523.16 × 223.75
  4. Step 4: Simplify right side
    379x = 117,055.93
  5. Step 5: Solve for x
    x = 117,055.93/379
  6. Step 6: Final answer
    x = 308.85

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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.