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Finding the Fourth Proportional to 489.12, 734.08 and 196.82

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Solution

The fourth proportional to 489.12, 734.08 and 196.82 is: 295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.12 : 734.08 = 196.82 : x
  2. Step 2: Convert to fraction form
    489.12/734.08 = 196.82/x
  3. Step 3: Cross multiply
    489.12x = 734.08 × 196.82
  4. Step 4: Simplify right side
    489.12x = 144,481.63
  5. Step 5: Solve for x
    x = 144,481.63/489.12
  6. Step 6: Final answer
    x = 295.39

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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.