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Finding the Fourth Proportional to 663.74, 995.00 and 338.73

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Solution

The fourth proportional to 663.74, 995.00 and 338.73 is: 507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.74 : 995.00 = 338.73 : x
  2. Step 2: Convert to fraction form
    663.74/995.00 = 338.73/x
  3. Step 3: Cross multiply
    663.74x = 995.00 × 338.73
  4. Step 4: Simplify right side
    663.74x = 337,034.66
  5. Step 5: Solve for x
    x = 337,034.66/663.74
  6. Step 6: Final answer
    x = 507.78

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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.