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Finding the Fourth Proportional to 489.46, 733.71 and 196.87

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Solution

The fourth proportional to 489.46, 733.71 and 196.87 is: 295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.46 : 733.71 = 196.87 : x
  2. Step 2: Convert to fraction form
    489.46/733.71 = 196.87/x
  3. Step 3: Cross multiply
    489.46x = 733.71 × 196.87
  4. Step 4: Simplify right side
    489.46x = 144,445.49
  5. Step 5: Solve for x
    x = 144,445.49/489.46
  6. Step 6: Final answer
    x = 295.11

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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.