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Finding the Fourth Proportional to 326.45, 449.73 and 255.71

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Solution

The fourth proportional to 326.45, 449.73 and 255.71 is: 352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.45 : 449.73 = 255.71 : x
  2. Step 2: Convert to fraction form
    326.45/449.73 = 255.71/x
  3. Step 3: Cross multiply
    326.45x = 449.73 × 255.71
  4. Step 4: Simplify right side
    326.45x = 114,998.21
  5. Step 5: Solve for x
    x = 114,998.21/326.45
  6. Step 6: Final answer
    x = 352.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.