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Finding the Fourth Proportional to 447.80, 672.46 and 274.81

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Solution

The fourth proportional to 447.80, 672.46 and 274.81 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.80 : 672.46 = 274.81 : x
  2. Step 2: Convert to fraction form
    447.80/672.46 = 274.81/x
  3. Step 3: Cross multiply
    447.80x = 672.46 × 274.81
  4. Step 4: Simplify right side
    447.80x = 184,799.73
  5. Step 5: Solve for x
    x = 184,799.73/447.80
  6. Step 6: Final answer
    x = 412.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.