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Finding the Fourth Proportional to 336.91, 506.13 and 327.82

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Solution

The fourth proportional to 336.91, 506.13 and 327.82 is: 492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.91 : 506.13 = 327.82 : x
  2. Step 2: Convert to fraction form
    336.91/506.13 = 327.82/x
  3. Step 3: Cross multiply
    336.91x = 506.13 × 327.82
  4. Step 4: Simplify right side
    336.91x = 165,919.54
  5. Step 5: Solve for x
    x = 165,919.54/336.91
  6. Step 6: Final answer
    x = 492.47

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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.