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Finding the Fourth Proportional to 662.31, 993.73 and 229.77

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Solution

The fourth proportional to 662.31, 993.73 and 229.77 is: 344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.31 : 993.73 = 229.77 : x
  2. Step 2: Convert to fraction form
    662.31/993.73 = 229.77/x
  3. Step 3: Cross multiply
    662.31x = 993.73 × 229.77
  4. Step 4: Simplify right side
    662.31x = 228,329.34
  5. Step 5: Solve for x
    x = 228,329.34/662.31
  6. Step 6: Final answer
    x = 344.75

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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.