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Finding the Fourth Proportional to 539.25, 808.88 and 174.04

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Solution

The fourth proportional to 539.25, 808.88 and 174.04 is: 261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.25 : 808.88 = 174.04 : x
  2. Step 2: Convert to fraction form
    539.25/808.88 = 174.04/x
  3. Step 3: Cross multiply
    539.25x = 808.88 × 174.04
  4. Step 4: Simplify right side
    539.25x = 140,777.48
  5. Step 5: Solve for x
    x = 140,777.48/539.25
  6. Step 6: Final answer
    x = 261.06

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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.