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Finding the Fourth Proportional to 323.87, 485.30 and 201.95

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Solution

The fourth proportional to 323.87, 485.30 and 201.95 is: 302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.87 : 485.30 = 201.95 : x
  2. Step 2: Convert to fraction form
    323.87/485.30 = 201.95/x
  3. Step 3: Cross multiply
    323.87x = 485.30 × 201.95
  4. Step 4: Simplify right side
    323.87x = 98,005.33
  5. Step 5: Solve for x
    x = 98,005.33/323.87
  6. Step 6: Final answer
    x = 302.61

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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.