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Finding the Fourth Proportional to 447.48, 671.40 and 204.12

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Solution

The fourth proportional to 447.48, 671.40 and 204.12 is: 306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.48 : 671.40 = 204.12 : x
  2. Step 2: Convert to fraction form
    447.48/671.40 = 204.12/x
  3. Step 3: Cross multiply
    447.48x = 671.40 × 204.12
  4. Step 4: Simplify right side
    447.48x = 137,046.17
  5. Step 5: Solve for x
    x = 137,046.17/447.48
  6. Step 6: Final answer
    x = 306.26

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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.