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Finding the Fourth Proportional to 516.86, 713.21 and 295.77

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Solution

The fourth proportional to 516.86, 713.21 and 295.77 is: 408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 713.21 = 295.77 : x
  2. Step 2: Convert to fraction form
    516.86/713.21 = 295.77/x
  3. Step 3: Cross multiply
    516.86x = 713.21 × 295.77
  4. Step 4: Simplify right side
    516.86x = 210,944.64
  5. Step 5: Solve for x
    x = 210,944.64/516.86
  6. Step 6: Final answer
    x = 408.13

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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.