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Finding the Fourth Proportional to 517.65, 776.60 and 192.84

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Solution

The fourth proportional to 517.65, 776.60 and 192.84 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.65 : 776.60 = 192.84 : x
  2. Step 2: Convert to fraction form
    517.65/776.60 = 192.84/x
  3. Step 3: Cross multiply
    517.65x = 776.60 × 192.84
  4. Step 4: Simplify right side
    517.65x = 149,759.54
  5. Step 5: Solve for x
    x = 149,759.54/517.65
  6. Step 6: Final answer
    x = 289.31

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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.