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Finding the Fourth Proportional to 298.59, 447.03 and 211.29

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Solution

The fourth proportional to 298.59, 447.03 and 211.29 is: 316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 447.03 = 211.29 : x
  2. Step 2: Convert to fraction form
    298.59/447.03 = 211.29/x
  3. Step 3: Cross multiply
    298.59x = 447.03 × 211.29
  4. Step 4: Simplify right side
    298.59x = 94,452.97
  5. Step 5: Solve for x
    x = 94,452.97/298.59
  6. Step 6: Final answer
    x = 316.33

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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.