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Finding the Fourth Proportional to 344.31, 517.27 and 295.71

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Solution

The fourth proportional to 344.31, 517.27 and 295.71 is: 444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.31 : 517.27 = 295.71 : x
  2. Step 2: Convert to fraction form
    344.31/517.27 = 295.71/x
  3. Step 3: Cross multiply
    344.31x = 517.27 × 295.71
  4. Step 4: Simplify right side
    344.31x = 152,961.91
  5. Step 5: Solve for x
    x = 152,961.91/344.31
  6. Step 6: Final answer
    x = 444.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.