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Finding the Fourth Proportional to 516.51, 773.82 and 300.24

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Solution

The fourth proportional to 516.51, 773.82 and 300.24 is: 449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.51 : 773.82 = 300.24 : x
  2. Step 2: Convert to fraction form
    516.51/773.82 = 300.24/x
  3. Step 3: Cross multiply
    516.51x = 773.82 × 300.24
  4. Step 4: Simplify right side
    516.51x = 232,331.72
  5. Step 5: Solve for x
    x = 232,331.72/516.51
  6. Step 6: Final answer
    x = 449.81

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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.