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Finding the Fourth Proportional to 512.93, 708.14 and 338.78

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Solution

The fourth proportional to 512.93, 708.14 and 338.78 is: 467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.93 : 708.14 = 338.78 : x
  2. Step 2: Convert to fraction form
    512.93/708.14 = 338.78/x
  3. Step 3: Cross multiply
    512.93x = 708.14 × 338.78
  4. Step 4: Simplify right side
    512.93x = 239,901.98
  5. Step 5: Solve for x
    x = 239,901.98/512.93
  6. Step 6: Final answer
    x = 467.71

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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.