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Finding the Fourth Proportional to 379, 523.08 and 223.72

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Solution

The fourth proportional to 379, 523.08 and 223.72 is: 308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379 : 523.08 = 223.72 : x
  2. Step 2: Convert to fraction form
    379/523.08 = 223.72/x
  3. Step 3: Cross multiply
    379x = 523.08 × 223.72
  4. Step 4: Simplify right side
    379x = 117,023.46
  5. Step 5: Solve for x
    x = 117,023.46/379
  6. Step 6: Final answer
    x = 308.77

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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.