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Finding the Fourth Proportional to 662.28, 993.38 and 229.42

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Solution

The fourth proportional to 662.28, 993.38 and 229.42 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.28 : 993.38 = 229.42 : x
  2. Step 2: Convert to fraction form
    662.28/993.38 = 229.42/x
  3. Step 3: Cross multiply
    662.28x = 993.38 × 229.42
  4. Step 4: Simplify right side
    662.28x = 227,901.24
  5. Step 5: Solve for x
    x = 227,901.24/662.28
  6. Step 6: Final answer
    x = 344.12

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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.