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Finding the Fourth Proportional to 519.70, 779.50 and 172.92

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Solution

The fourth proportional to 519.70, 779.50 and 172.92 is: 259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.70 : 779.50 = 172.92 : x
  2. Step 2: Convert to fraction form
    519.70/779.50 = 172.92/x
  3. Step 3: Cross multiply
    519.70x = 779.50 × 172.92
  4. Step 4: Simplify right side
    519.70x = 134,791.14
  5. Step 5: Solve for x
    x = 134,791.14/519.70
  6. Step 6: Final answer
    x = 259.36

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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.