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Finding the Fourth Proportional to 539.39, 743.15 and 490.25

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Solution

The fourth proportional to 539.39, 743.15 and 490.25 is: 675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.39 : 743.15 = 490.25 : x
  2. Step 2: Convert to fraction form
    539.39/743.15 = 490.25/x
  3. Step 3: Cross multiply
    539.39x = 743.15 × 490.25
  4. Step 4: Simplify right side
    539.39x = 364,323.12
  5. Step 5: Solve for x
    x = 364,323.12/539.39
  6. Step 6: Final answer
    x = 675.44

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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.