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Finding the Fourth Proportional to 662.68, 994.16 and 229.84

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Solution

The fourth proportional to 662.68, 994.16 and 229.84 is: 344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.68 : 994.16 = 229.84 : x
  2. Step 2: Convert to fraction form
    662.68/994.16 = 229.84/x
  3. Step 3: Cross multiply
    662.68x = 994.16 × 229.84
  4. Step 4: Simplify right side
    662.68x = 228,497.73
  5. Step 5: Solve for x
    x = 228,497.73/662.68
  6. Step 6: Final answer
    x = 344.81

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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.