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Finding the Fourth Proportional to 539.60, 809.51 and 231.47

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Solution

The fourth proportional to 539.60, 809.51 and 231.47 is: 347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.60 : 809.51 = 231.47 : x
  2. Step 2: Convert to fraction form
    539.60/809.51 = 231.47/x
  3. Step 3: Cross multiply
    539.60x = 809.51 × 231.47
  4. Step 4: Simplify right side
    539.60x = 187,372.07
  5. Step 5: Solve for x
    x = 187,372.07/539.60
  6. Step 6: Final answer
    x = 347.25

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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.