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Finding the Fourth Proportional to 343.78, 513.52 and 227.26

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Solution

The fourth proportional to 343.78, 513.52 and 227.26 is: 339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.78 : 513.52 = 227.26 : x
  2. Step 2: Convert to fraction form
    343.78/513.52 = 227.26/x
  3. Step 3: Cross multiply
    343.78x = 513.52 × 227.26
  4. Step 4: Simplify right side
    343.78x = 116,702.56
  5. Step 5: Solve for x
    x = 116,702.56/343.78
  6. Step 6: Final answer
    x = 339.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.