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Finding the Fourth Proportional to 447.64, 671.24 and 204.12

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Solution

The fourth proportional to 447.64, 671.24 and 204.12 is: 306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.64 : 671.24 = 204.12 : x
  2. Step 2: Convert to fraction form
    447.64/671.24 = 204.12/x
  3. Step 3: Cross multiply
    447.64x = 671.24 × 204.12
  4. Step 4: Simplify right side
    447.64x = 137,013.51
  5. Step 5: Solve for x
    x = 137,013.51/447.64
  6. Step 6: Final answer
    x = 306.08

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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.