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Finding the Fourth Proportional to 326.27, 449.62 and 305.42

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Solution

The fourth proportional to 326.27, 449.62 and 305.42 is: 420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.27 : 449.62 = 305.42 : x
  2. Step 2: Convert to fraction form
    326.27/449.62 = 305.42/x
  3. Step 3: Cross multiply
    326.27x = 449.62 × 305.42
  4. Step 4: Simplify right side
    326.27x = 137,319.93
  5. Step 5: Solve for x
    x = 137,319.93/326.27
  6. Step 6: Final answer
    x = 420.87

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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.