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Finding the Fourth Proportional to 348.86, 523.13 and 233.44

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Solution

The fourth proportional to 348.86, 523.13 and 233.44 is: 350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.86 : 523.13 = 233.44 : x
  2. Step 2: Convert to fraction form
    348.86/523.13 = 233.44/x
  3. Step 3: Cross multiply
    348.86x = 523.13 × 233.44
  4. Step 4: Simplify right side
    348.86x = 122,116.99
  5. Step 5: Solve for x
    x = 122,116.99/348.86
  6. Step 6: Final answer
    x = 350.04

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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.