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Finding the Fourth Proportional to 489.00, 733.39 and 196.41

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Solution

The fourth proportional to 489.00, 733.39 and 196.41 is: 294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.00 : 733.39 = 196.41 : x
  2. Step 2: Convert to fraction form
    489.00/733.39 = 196.41/x
  3. Step 3: Cross multiply
    489.00x = 733.39 × 196.41
  4. Step 4: Simplify right side
    489.00x = 144,047.39
  5. Step 5: Solve for x
    x = 144,047.39/489.00
  6. Step 6: Final answer
    x = 294.57

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Why These Related Problems?

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