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Finding the Fourth Proportional to 489.09, 733.66 and 164.41

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Solution

The fourth proportional to 489.09, 733.66 and 164.41 is: 246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.09 : 733.66 = 164.41 : x
  2. Step 2: Convert to fraction form
    489.09/733.66 = 164.41/x
  3. Step 3: Cross multiply
    489.09x = 733.66 × 164.41
  4. Step 4: Simplify right side
    489.09x = 120,621.04
  5. Step 5: Solve for x
    x = 120,621.04/489.09
  6. Step 6: Final answer
    x = 246.62

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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.