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Finding the Fourth Proportional to 516.78, 712.92 and 342.24

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Solution

The fourth proportional to 516.78, 712.92 and 342.24 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 712.92 = 342.24 : x
  2. Step 2: Convert to fraction form
    516.78/712.92 = 342.24/x
  3. Step 3: Cross multiply
    516.78x = 712.92 × 342.24
  4. Step 4: Simplify right side
    516.78x = 243,989.74
  5. Step 5: Solve for x
    x = 243,989.74/516.78
  6. Step 6: Final answer
    x = 472.13

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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.