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Finding the Fourth Proportional to 506.73, 699.39 and 329.69

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Solution

The fourth proportional to 506.73, 699.39 and 329.69 is: 455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.73 : 699.39 = 329.69 : x
  2. Step 2: Convert to fraction form
    506.73/699.39 = 329.69/x
  3. Step 3: Cross multiply
    506.73x = 699.39 × 329.69
  4. Step 4: Simplify right side
    506.73x = 230,578.39
  5. Step 5: Solve for x
    x = 230,578.39/506.73
  6. Step 6: Final answer
    x = 455.03

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Why These Related Problems?

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