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Finding the Fourth Proportional to 516.43, 712.66 and 295.37

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Solution

The fourth proportional to 516.43, 712.66 and 295.37 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.43 : 712.66 = 295.37 : x
  2. Step 2: Convert to fraction form
    516.43/712.66 = 295.37/x
  3. Step 3: Cross multiply
    516.43x = 712.66 × 295.37
  4. Step 4: Simplify right side
    516.43x = 210,496.91
  5. Step 5: Solve for x
    x = 210,496.91/516.43
  6. Step 6: Final answer
    x = 407.60

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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.