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Finding the Fourth Proportional to 539.28, 744.36 and 513.84

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Solution

The fourth proportional to 539.28, 744.36 and 513.84 is: 709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.28 : 744.36 = 513.84 : x
  2. Step 2: Convert to fraction form
    539.28/744.36 = 513.84/x
  3. Step 3: Cross multiply
    539.28x = 744.36 × 513.84
  4. Step 4: Simplify right side
    539.28x = 382,481.94
  5. Step 5: Solve for x
    x = 382,481.94/539.28
  6. Step 6: Final answer
    x = 709.25

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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.