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Finding the Fourth Proportional to 539.25, 808.98 and 174.09

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Solution

The fourth proportional to 539.25, 808.98 and 174.09 is: 261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.25 : 808.98 = 174.09 : x
  2. Step 2: Convert to fraction form
    539.25/808.98 = 174.09/x
  3. Step 3: Cross multiply
    539.25x = 808.98 × 174.09
  4. Step 4: Simplify right side
    539.25x = 140,835.33
  5. Step 5: Solve for x
    x = 140,835.33/539.25
  6. Step 6: Final answer
    x = 261.17

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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.