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Finding the Fourth Proportional to 489.88, 734.82 and 193.42

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Solution

The fourth proportional to 489.88, 734.82 and 193.42 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.88 : 734.82 = 193.42 : x
  2. Step 2: Convert to fraction form
    489.88/734.82 = 193.42/x
  3. Step 3: Cross multiply
    489.88x = 734.82 × 193.42
  4. Step 4: Simplify right side
    489.88x = 142,124.94
  5. Step 5: Solve for x
    x = 142,124.94/489.88
  6. Step 6: Final answer
    x = 290.12

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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.