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Finding the Fourth Proportional to 539.19, 808.94 and 174.08

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Solution

The fourth proportional to 539.19, 808.94 and 174.08 is: 261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.19 : 808.94 = 174.08 : x
  2. Step 2: Convert to fraction form
    539.19/808.94 = 174.08/x
  3. Step 3: Cross multiply
    539.19x = 808.94 × 174.08
  4. Step 4: Simplify right side
    539.19x = 140,821.75
  5. Step 5: Solve for x
    x = 140,821.75/539.19
  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.