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Finding the Fourth Proportional to 662.37, 993.42 and 229.65

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Solution

The fourth proportional to 662.37, 993.42 and 229.65 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.37 : 993.42 = 229.65 : x
  2. Step 2: Convert to fraction form
    662.37/993.42 = 229.65/x
  3. Step 3: Cross multiply
    662.37x = 993.42 × 229.65
  4. Step 4: Simplify right side
    662.37x = 228,138.90
  5. Step 5: Solve for x
    x = 228,138.90/662.37
  6. Step 6: Final answer
    x = 344.43

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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.