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Finding the Fourth Proportional to 323.66, 446.94 and 205.84

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Solution

The fourth proportional to 323.66, 446.94 and 205.84 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.66 : 446.94 = 205.84 : x
  2. Step 2: Convert to fraction form
    323.66/446.94 = 205.84/x
  3. Step 3: Cross multiply
    323.66x = 446.94 × 205.84
  4. Step 4: Simplify right side
    323.66x = 91,994.87
  5. Step 5: Solve for x
    x = 91,994.87/323.66
  6. Step 6: Final answer
    x = 284.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.