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Finding the Fourth Proportional to 506.44, 699.29 and 338.56

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Solution

The fourth proportional to 506.44, 699.29 and 338.56 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.44 : 699.29 = 338.56 : x
  2. Step 2: Convert to fraction form
    506.44/699.29 = 338.56/x
  3. Step 3: Cross multiply
    506.44x = 699.29 × 338.56
  4. Step 4: Simplify right side
    506.44x = 236,751.62
  5. Step 5: Solve for x
    x = 236,751.62/506.44
  6. Step 6: Final answer
    x = 467.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.