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Finding the Fourth Proportional to 662.63, 993.93 and 200.44

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Solution

The fourth proportional to 662.63, 993.93 and 200.44 is: 300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.63 : 993.93 = 200.44 : x
  2. Step 2: Convert to fraction form
    662.63/993.93 = 200.44/x
  3. Step 3: Cross multiply
    662.63x = 993.93 × 200.44
  4. Step 4: Simplify right side
    662.63x = 199,220.84
  5. Step 5: Solve for x
    x = 199,220.84/662.63
  6. Step 6: Final answer
    x = 300.65

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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.