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Finding the Fourth Proportional to 517.82, 776.86 and 193.21

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Solution

The fourth proportional to 517.82, 776.86 and 193.21 is: 289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.82 : 776.86 = 193.21 : x
  2. Step 2: Convert to fraction form
    517.82/776.86 = 193.21/x
  3. Step 3: Cross multiply
    517.82x = 776.86 × 193.21
  4. Step 4: Simplify right side
    517.82x = 150,094.70
  5. Step 5: Solve for x
    x = 150,094.70/517.82
  6. Step 6: Final answer
    x = 289.86

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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.