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Finding the Fourth Proportional to 517.80, 777.06 and 193.44

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Solution

The fourth proportional to 517.80, 777.06 and 193.44 is: 290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.80 : 777.06 = 193.44 : x
  2. Step 2: Convert to fraction form
    517.80/777.06 = 193.44/x
  3. Step 3: Cross multiply
    517.80x = 777.06 × 193.44
  4. Step 4: Simplify right side
    517.80x = 150,314.49
  5. Step 5: Solve for x
    x = 150,314.49/517.80
  6. Step 6: Final answer
    x = 290.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.