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Finding the Fourth Proportional to 662.78, 993.87 and 338.38

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Solution

The fourth proportional to 662.78, 993.87 and 338.38 is: 507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.78 : 993.87 = 338.38 : x
  2. Step 2: Convert to fraction form
    662.78/993.87 = 338.38/x
  3. Step 3: Cross multiply
    662.78x = 993.87 × 338.38
  4. Step 4: Simplify right side
    662.78x = 336,303.25
  5. Step 5: Solve for x
    x = 336,303.25/662.78
  6. Step 6: Final answer
    x = 507.41

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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.