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Finding the Fourth Proportional to 517.63, 776.58 and 193

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Solution

The fourth proportional to 517.63, 776.58 and 193 is: 289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.63 : 776.58 = 193 : x
  2. Step 2: Convert to fraction form
    517.63/776.58 = 193/x
  3. Step 3: Cross multiply
    517.63x = 776.58 × 193
  4. Step 4: Simplify right side
    517.63x = 149,879.94
  5. Step 5: Solve for x
    x = 149,879.94/517.63
  6. Step 6: Final answer
    x = 289.55

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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.