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Finding the Fourth Proportional to 326.69, 450.17 and 233.27

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Solution

The fourth proportional to 326.69, 450.17 and 233.27 is: 321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.69 : 450.17 = 233.27 : x
  2. Step 2: Convert to fraction form
    326.69/450.17 = 233.27/x
  3. Step 3: Cross multiply
    326.69x = 450.17 × 233.27
  4. Step 4: Simplify right side
    326.69x = 105,008.91
  5. Step 5: Solve for x
    x = 105,008.91/326.69
  6. Step 6: Final answer
    x = 321.44

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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.