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Finding the Fourth Proportional to 662.63, 994.23 and 337.82

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Solution

The fourth proportional to 662.63, 994.23 and 337.82 is: 506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.63 : 994.23 = 337.82 : x
  2. Step 2: Convert to fraction form
    662.63/994.23 = 337.82/x
  3. Step 3: Cross multiply
    662.63x = 994.23 × 337.82
  4. Step 4: Simplify right side
    662.63x = 335,865.81
  5. Step 5: Solve for x
    x = 335,865.81/662.63
  6. Step 6: Final answer
    x = 506.87

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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.