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Finding the Fourth Proportional to 339.52, 506.41 and 329.26

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Solution

The fourth proportional to 339.52, 506.41 and 329.26 is: 491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.52 : 506.41 = 329.26 : x
  2. Step 2: Convert to fraction form
    339.52/506.41 = 329.26/x
  3. Step 3: Cross multiply
    339.52x = 506.41 × 329.26
  4. Step 4: Simplify right side
    339.52x = 166,741.00
  5. Step 5: Solve for x
    x = 166,741.00/339.52
  6. Step 6: Final answer
    x = 491.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.