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Finding the Fourth Proportional to 351.34, 484.85 and 218.54

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Solution

The fourth proportional to 351.34, 484.85 and 218.54 is: 301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.34 : 484.85 = 218.54 : x
  2. Step 2: Convert to fraction form
    351.34/484.85 = 218.54/x
  3. Step 3: Cross multiply
    351.34x = 484.85 × 218.54
  4. Step 4: Simplify right side
    351.34x = 105,960.88
  5. Step 5: Solve for x
    x = 105,960.88/351.34
  6. Step 6: Final answer
    x = 301.59

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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.