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Finding the Fourth Proportional to 662.64, 994.01 and 200.53

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Solution

The fourth proportional to 662.64, 994.01 and 200.53 is: 300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.64 : 994.01 = 200.53 : x
  2. Step 2: Convert to fraction form
    662.64/994.01 = 200.53/x
  3. Step 3: Cross multiply
    662.64x = 994.01 × 200.53
  4. Step 4: Simplify right side
    662.64x = 199,329.07
  5. Step 5: Solve for x
    x = 199,329.07/662.64
  6. Step 6: Final answer
    x = 300.81

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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.