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Finding the Fourth Proportional to 305.89, 421.88 and 268.97

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Solution

The fourth proportional to 305.89, 421.88 and 268.97 is: 370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.89 : 421.88 = 268.97 : x
  2. Step 2: Convert to fraction form
    305.89/421.88 = 268.97/x
  3. Step 3: Cross multiply
    305.89x = 421.88 × 268.97
  4. Step 4: Simplify right side
    305.89x = 113,473.06
  5. Step 5: Solve for x
    x = 113,473.06/305.89
  6. Step 6: Final answer
    x = 370.96

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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.