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Finding the Fourth Proportional to 351.35, 484.74 and 251.78

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Solution

The fourth proportional to 351.35, 484.74 and 251.78 is: 347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.35 : 484.74 = 251.78 : x
  2. Step 2: Convert to fraction form
    351.35/484.74 = 251.78/x
  3. Step 3: Cross multiply
    351.35x = 484.74 × 251.78
  4. Step 4: Simplify right side
    351.35x = 122,049.05
  5. Step 5: Solve for x
    x = 122,049.05/351.35
  6. Step 6: Final answer
    x = 347.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.