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Finding the Fourth Proportional to 486.98, 672.02 and 447.80

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Solution

The fourth proportional to 486.98, 672.02 and 447.80 is: 617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.98 : 672.02 = 447.80 : x
  2. Step 2: Convert to fraction form
    486.98/672.02 = 447.80/x
  3. Step 3: Cross multiply
    486.98x = 672.02 × 447.80
  4. Step 4: Simplify right side
    486.98x = 300,928.88
  5. Step 5: Solve for x
    x = 300,928.88/486.98
  6. Step 6: Final answer
    x = 617.95

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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.