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Finding the Fourth Proportional to 516.56, 712.85 and 295.49

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Solution

The fourth proportional to 516.56, 712.85 and 295.49 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.56 : 712.85 = 295.49 : x
  2. Step 2: Convert to fraction form
    516.56/712.85 = 295.49/x
  3. Step 3: Cross multiply
    516.56x = 712.85 × 295.49
  4. Step 4: Simplify right side
    516.56x = 210,640.35
  5. Step 5: Solve for x
    x = 210,640.35/516.56
  6. Step 6: Final answer
    x = 407.78

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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.