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Finding the Fourth Proportional to 323.72, 447.06 and 230.98

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Solution

The fourth proportional to 323.72, 447.06 and 230.98 is: 318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.72 : 447.06 = 230.98 : x
  2. Step 2: Convert to fraction form
    323.72/447.06 = 230.98/x
  3. Step 3: Cross multiply
    323.72x = 447.06 × 230.98
  4. Step 4: Simplify right side
    323.72x = 103,261.92
  5. Step 5: Solve for x
    x = 103,261.92/323.72
  6. Step 6: Final answer
    x = 318.99

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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.