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Finding the Fourth Proportional to 517.97, 776.80 and 193.26

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Solution

The fourth proportional to 517.97, 776.80 and 193.26 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.97 : 776.80 = 193.26 : x
  2. Step 2: Convert to fraction form
    517.97/776.80 = 193.26/x
  3. Step 3: Cross multiply
    517.97x = 776.80 × 193.26
  4. Step 4: Simplify right side
    517.97x = 150,124.37
  5. Step 5: Solve for x
    x = 150,124.37/517.97
  6. Step 6: Final answer
    x = 289.83

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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.