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Finding the Fourth Proportional to 447.67, 617.46 and 279.67

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Solution

The fourth proportional to 447.67, 617.46 and 279.67 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.67 : 617.46 = 279.67 : x
  2. Step 2: Convert to fraction form
    447.67/617.46 = 279.67/x
  3. Step 3: Cross multiply
    447.67x = 617.46 × 279.67
  4. Step 4: Simplify right side
    447.67x = 172,685.04
  5. Step 5: Solve for x
    x = 172,685.04/447.67
  6. Step 6: Final answer
    x = 385.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.