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Finding the Fourth Proportional to 447.72, 670.92 and 204.12

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Solution

The fourth proportional to 447.72, 670.92 and 204.12 is: 305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.72 : 670.92 = 204.12 : x
  2. Step 2: Convert to fraction form
    447.72/670.92 = 204.12/x
  3. Step 3: Cross multiply
    447.72x = 670.92 × 204.12
  4. Step 4: Simplify right side
    447.72x = 136,948.19
  5. Step 5: Solve for x
    x = 136,948.19/447.72
  6. Step 6: Final answer
    x = 305.88

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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.