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Finding the Fourth Proportional to 447.82, 672.18 and 283.49

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Solution

The fourth proportional to 447.82, 672.18 and 283.49 is: 425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.82 : 672.18 = 283.49 : x
  2. Step 2: Convert to fraction form
    447.82/672.18 = 283.49/x
  3. Step 3: Cross multiply
    447.82x = 672.18 × 283.49
  4. Step 4: Simplify right side
    447.82x = 190,556.31
  5. Step 5: Solve for x
    x = 190,556.31/447.82
  6. Step 6: Final answer
    x = 425.52

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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.