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Finding the Fourth Proportional to 517.97, 777.16 and 193.36

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Solution

The fourth proportional to 517.97, 777.16 and 193.36 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.97 : 777.16 = 193.36 : x
  2. Step 2: Convert to fraction form
    517.97/777.16 = 193.36/x
  3. Step 3: Cross multiply
    517.97x = 777.16 × 193.36
  4. Step 4: Simplify right side
    517.97x = 150,270.33
  5. Step 5: Solve for x
    x = 150,270.33/517.97
  6. Step 6: Final answer
    x = 290.12

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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.