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Finding the Fourth Proportional to 447.70, 671.55 and 204.16

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Solution

The fourth proportional to 447.70, 671.55 and 204.16 is: 306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.70 : 671.55 = 204.16 : x
  2. Step 2: Convert to fraction form
    447.70/671.55 = 204.16/x
  3. Step 3: Cross multiply
    447.70x = 671.55 × 204.16
  4. Step 4: Simplify right side
    447.70x = 137,103.65
  5. Step 5: Solve for x
    x = 137,103.65/447.70
  6. Step 6: Final answer
    x = 306.24

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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.