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Finding the Fourth Proportional to 516.94, 713.46 and 295.90

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Solution

The fourth proportional to 516.94, 713.46 and 295.90 is: 408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 713.46 = 295.90 : x
  2. Step 2: Convert to fraction form
    516.94/713.46 = 295.90/x
  3. Step 3: Cross multiply
    516.94x = 713.46 × 295.90
  4. Step 4: Simplify right side
    516.94x = 211,112.81
  5. Step 5: Solve for x
    x = 211,112.81/516.94
  6. Step 6: Final answer
    x = 408.39

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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.