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Finding the Fourth Proportional to 351.08, 484.57 and 233.07

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Solution

The fourth proportional to 351.08, 484.57 and 233.07 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.08 : 484.57 = 233.07 : x
  2. Step 2: Convert to fraction form
    351.08/484.57 = 233.07/x
  3. Step 3: Cross multiply
    351.08x = 484.57 × 233.07
  4. Step 4: Simplify right side
    351.08x = 112,936.33
  5. Step 5: Solve for x
    x = 112,936.33/351.08
  6. Step 6: Final answer
    x = 321.68

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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.