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Finding the Fourth Proportional to 516.50, 712.86 and 295.46

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Solution

The fourth proportional to 516.50, 712.86 and 295.46 is: 407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.50 : 712.86 = 295.46 : x
  2. Step 2: Convert to fraction form
    516.50/712.86 = 295.46/x
  3. Step 3: Cross multiply
    516.50x = 712.86 × 295.46
  4. Step 4: Simplify right side
    516.50x = 210,621.62
  5. Step 5: Solve for x
    x = 210,621.62/516.50
  6. Step 6: Final answer
    x = 407.79

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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.