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Finding the Fourth Proportional to 344.69, 517.64 and 329.30

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Solution

The fourth proportional to 344.69, 517.64 and 329.30 is: 494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.69 : 517.64 = 329.30 : x
  2. Step 2: Convert to fraction form
    344.69/517.64 = 329.30/x
  3. Step 3: Cross multiply
    344.69x = 517.64 × 329.30
  4. Step 4: Simplify right side
    344.69x = 170,458.85
  5. Step 5: Solve for x
    x = 170,458.85/344.69
  6. Step 6: Final answer
    x = 494.53

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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.