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Finding the Fourth Proportional to 663.38, 994.32 and 338.06

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Solution

The fourth proportional to 663.38, 994.32 and 338.06 is: 506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.38 : 994.32 = 338.06 : x
  2. Step 2: Convert to fraction form
    663.38/994.32 = 338.06/x
  3. Step 3: Cross multiply
    663.38x = 994.32 × 338.06
  4. Step 4: Simplify right side
    663.38x = 336,139.82
  5. Step 5: Solve for x
    x = 336,139.82/663.38
  6. Step 6: Final answer
    x = 506.71

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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.