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Finding the Fourth Proportional to 516.85, 713.23 and 295.80

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Solution

The fourth proportional to 516.85, 713.23 and 295.80 is: 408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.85 : 713.23 = 295.80 : x
  2. Step 2: Convert to fraction form
    516.85/713.23 = 295.80/x
  3. Step 3: Cross multiply
    516.85x = 713.23 × 295.80
  4. Step 4: Simplify right side
    516.85x = 210,973.43
  5. Step 5: Solve for x
    x = 210,973.43/516.85
  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.