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Finding the Fourth Proportional to 516.94, 775.52 and 220.48

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Solution

The fourth proportional to 516.94, 775.52 and 220.48 is: 330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 775.52 = 220.48 : x
  2. Step 2: Convert to fraction form
    516.94/775.52 = 220.48/x
  3. Step 3: Cross multiply
    516.94x = 775.52 × 220.48
  4. Step 4: Simplify right side
    516.94x = 170,986.65
  5. Step 5: Solve for x
    x = 170,986.65/516.94
  6. Step 6: Final answer
    x = 330.77

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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.