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Finding the Fourth Proportional to 326.14, 485.61 and 321.22

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Solution

The fourth proportional to 326.14, 485.61 and 321.22 is: 478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.14 : 485.61 = 321.22 : x
  2. Step 2: Convert to fraction form
    326.14/485.61 = 321.22/x
  3. Step 3: Cross multiply
    326.14x = 485.61 × 321.22
  4. Step 4: Simplify right side
    326.14x = 155,986.12
  5. Step 5: Solve for x
    x = 155,986.12/326.14
  6. Step 6: Final answer
    x = 478.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.