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Finding the Fourth Proportional to 516.78, 713.34 and 342.18

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Solution

The fourth proportional to 516.78, 713.34 and 342.18 is: 472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 713.34 = 342.18 : x
  2. Step 2: Convert to fraction form
    516.78/713.34 = 342.18/x
  3. Step 3: Cross multiply
    516.78x = 713.34 × 342.18
  4. Step 4: Simplify right side
    516.78x = 244,090.68
  5. Step 5: Solve for x
    x = 244,090.68/516.78
  6. Step 6: Final answer
    x = 472.33

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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.