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Finding the Fourth Proportional to 379.64, 523.76 and 232.22

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Solution

The fourth proportional to 379.64, 523.76 and 232.22 is: 320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.64 : 523.76 = 232.22 : x
  2. Step 2: Convert to fraction form
    379.64/523.76 = 232.22/x
  3. Step 3: Cross multiply
    379.64x = 523.76 × 232.22
  4. Step 4: Simplify right side
    379.64x = 121,623.77
  5. Step 5: Solve for x
    x = 121,623.77/379.64
  6. Step 6: Final answer
    x = 320.37

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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.