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Finding the Fourth Proportional to 516.83, 713.21 and 295.80

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Solution

The fourth proportional to 516.83, 713.21 and 295.80 is: 408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.83 : 713.21 = 295.80 : x
  2. Step 2: Convert to fraction form
    516.83/713.21 = 295.80/x
  3. Step 3: Cross multiply
    516.83x = 713.21 × 295.80
  4. Step 4: Simplify right side
    516.83x = 210,963.36
  5. Step 5: Solve for x
    x = 210,963.36/516.83
  6. Step 6: Final answer
    x = 408.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.