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Finding the Fourth Proportional to 516.02, 774.23 and 227.25

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Solution

The fourth proportional to 516.02, 774.23 and 227.25 is: 340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.02 : 774.23 = 227.25 : x
  2. Step 2: Convert to fraction form
    516.02/774.23 = 227.25/x
  3. Step 3: Cross multiply
    516.02x = 774.23 × 227.25
  4. Step 4: Simplify right side
    516.02x = 175,942.63
  5. Step 5: Solve for x
    x = 175,942.63/516.02
  6. Step 6: Final answer
    x = 340.96

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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.