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Finding the Fourth Proportional to 516.89, 713.31 and 295.84

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Solution

The fourth proportional to 516.89, 713.31 and 295.84 is: 408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.89 : 713.31 = 295.84 : x
  2. Step 2: Convert to fraction form
    516.89/713.31 = 295.84/x
  3. Step 3: Cross multiply
    516.89x = 713.31 × 295.84
  4. Step 4: Simplify right side
    516.89x = 211,025.63
  5. Step 5: Solve for x
    x = 211,025.63/516.89
  6. Step 6: Final answer
    x = 408.26

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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.