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Finding the Fourth Proportional to 662.58, 993.86 and 229.74

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Solution

The fourth proportional to 662.58, 993.86 and 229.74 is: 344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.58 : 993.86 = 229.74 : x
  2. Step 2: Convert to fraction form
    662.58/993.86 = 229.74/x
  3. Step 3: Cross multiply
    662.58x = 993.86 × 229.74
  4. Step 4: Simplify right side
    662.58x = 228,329.40
  5. Step 5: Solve for x
    x = 228,329.40/662.58
  6. Step 6: Final answer
    x = 344.61

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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.