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Finding the Fourth Proportional to 484.30, 668.11 and 287.69

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Solution

The fourth proportional to 484.30, 668.11 and 287.69 is: 396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.30 : 668.11 = 287.69 : x
  2. Step 2: Convert to fraction form
    484.30/668.11 = 287.69/x
  3. Step 3: Cross multiply
    484.30x = 668.11 × 287.69
  4. Step 4: Simplify right side
    484.30x = 192,208.57
  5. Step 5: Solve for x
    x = 192,208.57/484.30
  6. Step 6: Final answer
    x = 396.88

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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.