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Finding the Fourth Proportional to 519.50, 779.32 and 177.50

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Solution

The fourth proportional to 519.50, 779.32 and 177.50 is: 266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.50 : 779.32 = 177.50 : x
  2. Step 2: Convert to fraction form
    519.50/779.32 = 177.50/x
  3. Step 3: Cross multiply
    519.50x = 779.32 × 177.50
  4. Step 4: Simplify right side
    519.50x = 138,329.30
  5. Step 5: Solve for x
    x = 138,329.30/519.50
  6. Step 6: Final answer
    x = 266.27

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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.