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Finding the Fourth Proportional to 489.96, 733.77 and 273.42

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Solution

The fourth proportional to 489.96, 733.77 and 273.42 is: 409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.96 : 733.77 = 273.42 : x
  2. Step 2: Convert to fraction form
    489.96/733.77 = 273.42/x
  3. Step 3: Cross multiply
    489.96x = 733.77 × 273.42
  4. Step 4: Simplify right side
    489.96x = 200,627.39
  5. Step 5: Solve for x
    x = 200,627.39/489.96
  6. Step 6: Final answer
    x = 409.48

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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.