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Finding the Fourth Proportional to 323.28, 484.56 and 301.68

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Solution

The fourth proportional to 323.28, 484.56 and 301.68 is: 452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.28 : 484.56 = 301.68 : x
  2. Step 2: Convert to fraction form
    323.28/484.56 = 301.68/x
  3. Step 3: Cross multiply
    323.28x = 484.56 × 301.68
  4. Step 4: Simplify right side
    323.28x = 146,182.06
  5. Step 5: Solve for x
    x = 146,182.06/323.28
  6. Step 6: Final answer
    x = 452.18

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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.