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Finding the Fourth Proportional to 516.23, 773.58 and 272.17

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Solution

The fourth proportional to 516.23, 773.58 and 272.17 is: 407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.23 : 773.58 = 272.17 : x
  2. Step 2: Convert to fraction form
    516.23/773.58 = 272.17/x
  3. Step 3: Cross multiply
    516.23x = 773.58 × 272.17
  4. Step 4: Simplify right side
    516.23x = 210,545.27
  5. Step 5: Solve for x
    x = 210,545.27/516.23
  6. Step 6: Final answer
    x = 407.85

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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.