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Finding the Fourth Proportional to 351.24, 484.78 and 233.22

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Solution

The fourth proportional to 351.24, 484.78 and 233.22 is: 321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.24 : 484.78 = 233.22 : x
  2. Step 2: Convert to fraction form
    351.24/484.78 = 233.22/x
  3. Step 3: Cross multiply
    351.24x = 484.78 × 233.22
  4. Step 4: Simplify right side
    351.24x = 113,060.39
  5. Step 5: Solve for x
    x = 113,060.39/351.24
  6. Step 6: Final answer
    x = 321.89

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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.