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Finding the Fourth Proportional to 519.62, 779.37 and 172.97

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Solution

The fourth proportional to 519.62, 779.37 and 172.97 is: 259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.62 : 779.37 = 172.97 : x
  2. Step 2: Convert to fraction form
    519.62/779.37 = 172.97/x
  3. Step 3: Cross multiply
    519.62x = 779.37 × 172.97
  4. Step 4: Simplify right side
    519.62x = 134,807.63
  5. Step 5: Solve for x
    x = 134,807.63/519.62
  6. Step 6: Final answer
    x = 259.44

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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.