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Finding the Fourth Proportional to 298.11, 447.15 and 215.93

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Solution

The fourth proportional to 298.11, 447.15 and 215.93 is: 323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.11 : 447.15 = 215.93 : x
  2. Step 2: Convert to fraction form
    298.11/447.15 = 215.93/x
  3. Step 3: Cross multiply
    298.11x = 447.15 × 215.93
  4. Step 4: Simplify right side
    298.11x = 96,555.03
  5. Step 5: Solve for x
    x = 96,555.03/298.11
  6. Step 6: Final answer
    x = 323.89

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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.