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Finding the Fourth Proportional to 539.97, 809.31 and 262.47

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Solution

The fourth proportional to 539.97, 809.31 and 262.47 is: 393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.97 : 809.31 = 262.47 : x
  2. Step 2: Convert to fraction form
    539.97/809.31 = 262.47/x
  3. Step 3: Cross multiply
    539.97x = 809.31 × 262.47
  4. Step 4: Simplify right side
    539.97x = 212,419.60
  5. Step 5: Solve for x
    x = 212,419.60/539.97
  6. Step 6: Final answer
    x = 393.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.