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Finding the Fourth Proportional to 447.49, 617.34 and 289.84

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Solution

The fourth proportional to 447.49, 617.34 and 289.84 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.49 : 617.34 = 289.84 : x
  2. Step 2: Convert to fraction form
    447.49/617.34 = 289.84/x
  3. Step 3: Cross multiply
    447.49x = 617.34 × 289.84
  4. Step 4: Simplify right side
    447.49x = 178,929.83
  5. Step 5: Solve for x
    x = 178,929.83/447.49
  6. Step 6: Final answer
    x = 399.85

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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.