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Finding the Fourth Proportional to 447.39, 617.58 and 323.10

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Solution

The fourth proportional to 447.39, 617.58 and 323.10 is: 446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.39 : 617.58 = 323.10 : x
  2. Step 2: Convert to fraction form
    447.39/617.58 = 323.10/x
  3. Step 3: Cross multiply
    447.39x = 617.58 × 323.10
  4. Step 4: Simplify right side
    447.39x = 199,540.10
  5. Step 5: Solve for x
    x = 199,540.10/447.39
  6. Step 6: Final answer
    x = 446.01

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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.