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Finding the Fourth Proportional to 539.42, 809.26 and 174.20

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Solution

The fourth proportional to 539.42, 809.26 and 174.20 is: 261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.42 : 809.26 = 174.20 : x
  2. Step 2: Convert to fraction form
    539.42/809.26 = 174.20/x
  3. Step 3: Cross multiply
    539.42x = 809.26 × 174.20
  4. Step 4: Simplify right side
    539.42x = 140,973.09
  5. Step 5: Solve for x
    x = 140,973.09/539.42
  6. Step 6: Final answer
    x = 261.34

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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.