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Finding the Fourth Proportional to 662.96, 993.72 and 338.24

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Solution

The fourth proportional to 662.96, 993.72 and 338.24 is: 506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.96 : 993.72 = 338.24 : x
  2. Step 2: Convert to fraction form
    662.96/993.72 = 338.24/x
  3. Step 3: Cross multiply
    662.96x = 993.72 × 338.24
  4. Step 4: Simplify right side
    662.96x = 336,115.85
  5. Step 5: Solve for x
    x = 336,115.85/662.96
  6. Step 6: Final answer
    x = 506.99

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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.