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Finding the Fourth Proportional to 379.58, 523.82 and 222.32

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Solution

The fourth proportional to 379.58, 523.82 and 222.32 is: 306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.58 : 523.82 = 222.32 : x
  2. Step 2: Convert to fraction form
    379.58/523.82 = 222.32/x
  3. Step 3: Cross multiply
    379.58x = 523.82 × 222.32
  4. Step 4: Simplify right side
    379.58x = 116,455.66
  5. Step 5: Solve for x
    x = 116,455.66/379.58
  6. Step 6: Final answer
    x = 306.80

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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.