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Finding the Fourth Proportional to 666.27, 999.50 and 233.73

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Solution

The fourth proportional to 666.27, 999.50 and 233.73 is: 350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.27 : 999.50 = 233.73 : x
  2. Step 2: Convert to fraction form
    666.27/999.50 = 233.73/x
  3. Step 3: Cross multiply
    666.27x = 999.50 × 233.73
  4. Step 4: Simplify right side
    666.27x = 233,611.97
  5. Step 5: Solve for x
    x = 233,611.97/666.27
  6. Step 6: Final answer
    x = 350.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.