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Finding the Fourth Proportional to 305.82, 422.97 and 273.03

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Solution

The fourth proportional to 305.82, 422.97 and 273.03 is: 377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.82 : 422.97 = 273.03 : x
  2. Step 2: Convert to fraction form
    305.82/422.97 = 273.03/x
  3. Step 3: Cross multiply
    305.82x = 422.97 × 273.03
  4. Step 4: Simplify right side
    305.82x = 115,483.50
  5. Step 5: Solve for x
    x = 115,483.50/305.82
  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.