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Finding the Fourth Proportional to 349.15, 523.42 and 175.59

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Solution

The fourth proportional to 349.15, 523.42 and 175.59 is: 263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.15 : 523.42 = 175.59 : x
  2. Step 2: Convert to fraction form
    349.15/523.42 = 175.59/x
  3. Step 3: Cross multiply
    349.15x = 523.42 × 175.59
  4. Step 4: Simplify right side
    349.15x = 91,906.44
  5. Step 5: Solve for x
    x = 91,906.44/349.15
  6. Step 6: Final answer
    x = 263.23

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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.