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Finding the Fourth Proportional to 483.82, 667.30 and 343.78

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Solution

The fourth proportional to 483.82, 667.30 and 343.78 is: 474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.82 : 667.30 = 343.78 : x
  2. Step 2: Convert to fraction form
    483.82/667.30 = 343.78/x
  3. Step 3: Cross multiply
    483.82x = 667.30 × 343.78
  4. Step 4: Simplify right side
    483.82x = 229,404.39
  5. Step 5: Solve for x
    x = 229,404.39/483.82
  6. Step 6: Final answer
    x = 474.15

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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.