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Finding the Fourth Proportional to 539.26, 743.92 and 352.68

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Solution

The fourth proportional to 539.26, 743.92 and 352.68 is: 486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.26 : 743.92 = 352.68 : x
  2. Step 2: Convert to fraction form
    539.26/743.92 = 352.68/x
  3. Step 3: Cross multiply
    539.26x = 743.92 × 352.68
  4. Step 4: Simplify right side
    539.26x = 262,365.71
  5. Step 5: Solve for x
    x = 262,365.71/539.26
  6. Step 6: Final answer
    x = 486.53

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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.