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Finding the Fourth Proportional to 447.67, 671.25 and 204.06

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Solution

The fourth proportional to 447.67, 671.25 and 204.06 is: 305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.67 : 671.25 = 204.06 : x
  2. Step 2: Convert to fraction form
    447.67/671.25 = 204.06/x
  3. Step 3: Cross multiply
    447.67x = 671.25 × 204.06
  4. Step 4: Simplify right side
    447.67x = 136,975.93
  5. Step 5: Solve for x
    x = 136,975.93/447.67
  6. Step 6: Final answer
    x = 305.98

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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.