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Finding the Fourth Proportional to 539.25, 743.98 and 329.35

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Solution

The fourth proportional to 539.25, 743.98 and 329.35 is: 454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.25 : 743.98 = 329.35 : x
  2. Step 2: Convert to fraction form
    539.25/743.98 = 329.35/x
  3. Step 3: Cross multiply
    539.25x = 743.98 × 329.35
  4. Step 4: Simplify right side
    539.25x = 245,028.78
  5. Step 5: Solve for x
    x = 245,028.78/539.25
  6. Step 6: Final answer
    x = 454.39

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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.