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Finding the Fourth Proportional to 326.73, 450.56 and 233.92

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Solution

The fourth proportional to 326.73, 450.56 and 233.92 is: 322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.73 : 450.56 = 233.92 : x
  2. Step 2: Convert to fraction form
    326.73/450.56 = 233.92/x
  3. Step 3: Cross multiply
    326.73x = 450.56 × 233.92
  4. Step 4: Simplify right side
    326.73x = 105,396.14
  5. Step 5: Solve for x
    x = 105,396.14/326.73
  6. Step 6: Final answer
    x = 322.58

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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.