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Finding the Fourth Proportional to 539.75, 744.80 and 329.96

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Solution

The fourth proportional to 539.75, 744.80 and 329.96 is: 455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.75 : 744.80 = 329.96 : x
  2. Step 2: Convert to fraction form
    539.75/744.80 = 329.96/x
  3. Step 3: Cross multiply
    539.75x = 744.80 × 329.96
  4. Step 4: Simplify right side
    539.75x = 245,748.83
  5. Step 5: Solve for x
    x = 245,748.83/539.75
  6. Step 6: Final answer
    x = 455.31

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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.