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Finding the Fourth Proportional to 323.42, 445.74 and 267.86

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Solution

The fourth proportional to 323.42, 445.74 and 267.86 is: 369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.42 : 445.74 = 267.86 : x
  2. Step 2: Convert to fraction form
    323.42/445.74 = 267.86/x
  3. Step 3: Cross multiply
    323.42x = 445.74 × 267.86
  4. Step 4: Simplify right side
    323.42x = 119,395.92
  5. Step 5: Solve for x
    x = 119,395.92/323.42
  6. Step 6: Final answer
    x = 369.17

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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.