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Finding the Fourth Proportional to 323.12, 485.28 and 301.28

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Solution

The fourth proportional to 323.12, 485.28 and 301.28 is: 452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.12 : 485.28 = 301.28 : x
  2. Step 2: Convert to fraction form
    323.12/485.28 = 301.28/x
  3. Step 3: Cross multiply
    323.12x = 485.28 × 301.28
  4. Step 4: Simplify right side
    323.12x = 146,205.16
  5. Step 5: Solve for x
    x = 146,205.16/323.12
  6. Step 6: Final answer
    x = 452.48

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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.