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Finding the Fourth Proportional to 666.84, 999.94 and 204.54

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Solution

The fourth proportional to 666.84, 999.94 and 204.54 is: 306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 999.94 = 204.54 : x
  2. Step 2: Convert to fraction form
    666.84/999.94 = 204.54/x
  3. Step 3: Cross multiply
    666.84x = 999.94 × 204.54
  4. Step 4: Simplify right side
    666.84x = 204,527.73
  5. Step 5: Solve for x
    x = 204,527.73/666.84
  6. Step 6: Final answer
    x = 306.71

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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.