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Finding the Fourth Proportional to 483.58, 667.56 and 343.82

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Solution

The fourth proportional to 483.58, 667.56 and 343.82 is: 474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.58 : 667.56 = 343.82 : x
  2. Step 2: Convert to fraction form
    483.58/667.56 = 343.82/x
  3. Step 3: Cross multiply
    483.58x = 667.56 × 343.82
  4. Step 4: Simplify right side
    483.58x = 229,520.48
  5. Step 5: Solve for x
    x = 229,520.48/483.58
  6. Step 6: Final answer
    x = 474.63

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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.