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Finding the Fourth Proportional to 539.26, 808.61 and 174

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Solution

The fourth proportional to 539.26, 808.61 and 174 is: 260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.26 : 808.61 = 174 : x
  2. Step 2: Convert to fraction form
    539.26/808.61 = 174/x
  3. Step 3: Cross multiply
    539.26x = 808.61 × 174
  4. Step 4: Simplify right side
    539.26x = 140,698.14
  5. Step 5: Solve for x
    x = 140,698.14/539.26
  6. Step 6: Final answer
    x = 260.91

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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.