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Finding the Fourth Proportional to 662.56, 993.94 and 200.29

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Solution

The fourth proportional to 662.56, 993.94 and 200.29 is: 300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.56 : 993.94 = 200.29 : x
  2. Step 2: Convert to fraction form
    662.56/993.94 = 200.29/x
  3. Step 3: Cross multiply
    662.56x = 993.94 × 200.29
  4. Step 4: Simplify right side
    662.56x = 199,075.12
  5. Step 5: Solve for x
    x = 199,075.12/662.56
  6. Step 6: Final answer
    x = 300.46

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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.