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Finding the Fourth Proportional to 379.36, 523.86 and 305.44

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Solution

The fourth proportional to 379.36, 523.86 and 305.44 is: 421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.36 : 523.86 = 305.44 : x
  2. Step 2: Convert to fraction form
    379.36/523.86 = 305.44/x
  3. Step 3: Cross multiply
    379.36x = 523.86 × 305.44
  4. Step 4: Simplify right side
    379.36x = 160,007.80
  5. Step 5: Solve for x
    x = 160,007.80/379.36
  6. Step 6: Final answer
    x = 421.78

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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.