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Finding the Fourth Proportional to 351.06, 484.33 and 233.09

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Solution

The fourth proportional to 351.06, 484.33 and 233.09 is: 321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.06 : 484.33 = 233.09 : x
  2. Step 2: Convert to fraction form
    351.06/484.33 = 233.09/x
  3. Step 3: Cross multiply
    351.06x = 484.33 × 233.09
  4. Step 4: Simplify right side
    351.06x = 112,890.37
  5. Step 5: Solve for x
    x = 112,890.37/351.06
  6. Step 6: Final answer
    x = 321.57

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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.