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Finding the Fourth Proportional to 517.93, 777.04 and 193.22

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Solution

The fourth proportional to 517.93, 777.04 and 193.22 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.93 : 777.04 = 193.22 : x
  2. Step 2: Convert to fraction form
    517.93/777.04 = 193.22/x
  3. Step 3: Cross multiply
    517.93x = 777.04 × 193.22
  4. Step 4: Simplify right side
    517.93x = 150,139.30
  5. Step 5: Solve for x
    x = 150,139.30/517.93
  6. Step 6: Final answer
    x = 289.88

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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.