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Finding the Fourth Proportional to 344.94, 517.68 and 342.24

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Solution

The fourth proportional to 344.94, 517.68 and 342.24 is: 513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.94 : 517.68 = 342.24 : x
  2. Step 2: Convert to fraction form
    344.94/517.68 = 342.24/x
  3. Step 3: Cross multiply
    344.94x = 517.68 × 342.24
  4. Step 4: Simplify right side
    344.94x = 177,170.80
  5. Step 5: Solve for x
    x = 177,170.80/344.94
  6. Step 6: Final answer
    x = 513.63

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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.