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Finding the Fourth Proportional to 379.67, 523.95 and 224.42

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Solution

The fourth proportional to 379.67, 523.95 and 224.42 is: 309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.67 : 523.95 = 224.42 : x
  2. Step 2: Convert to fraction form
    379.67/523.95 = 224.42/x
  3. Step 3: Cross multiply
    379.67x = 523.95 × 224.42
  4. Step 4: Simplify right side
    379.67x = 117,584.86
  5. Step 5: Solve for x
    x = 117,584.86/379.67
  6. Step 6: Final answer
    x = 309.70

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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.