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Finding the Fourth Proportional to 323.19, 484.31 and 201.08

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Solution

The fourth proportional to 323.19, 484.31 and 201.08 is: 301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.19 : 484.31 = 201.08 : x
  2. Step 2: Convert to fraction form
    323.19/484.31 = 201.08/x
  3. Step 3: Cross multiply
    323.19x = 484.31 × 201.08
  4. Step 4: Simplify right side
    323.19x = 97,384.05
  5. Step 5: Solve for x
    x = 97,384.05/323.19
  6. Step 6: Final answer
    x = 301.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.