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Finding the Fourth Proportional to 470.35, 648.87 and 273.73

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Solution

The fourth proportional to 470.35, 648.87 and 273.73 is: 377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.35 : 648.87 = 273.73 : x
  2. Step 2: Convert to fraction form
    470.35/648.87 = 273.73/x
  3. Step 3: Cross multiply
    470.35x = 648.87 × 273.73
  4. Step 4: Simplify right side
    470.35x = 177,615.19
  5. Step 5: Solve for x
    x = 177,615.19/470.35
  6. Step 6: Final answer
    x = 377.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.