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Finding the Fourth Proportional to 323.64, 446.94 and 305.46

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Solution

The fourth proportional to 323.64, 446.94 and 305.46 is: 421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.64 : 446.94 = 305.46 : x
  2. Step 2: Convert to fraction form
    323.64/446.94 = 305.46/x
  3. Step 3: Cross multiply
    323.64x = 446.94 × 305.46
  4. Step 4: Simplify right side
    323.64x = 136,522.29
  5. Step 5: Solve for x
    x = 136,522.29/323.64
  6. Step 6: Final answer
    x = 421.83

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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.