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Finding the Fourth Proportional to 447.30, 617.24 and 248.11

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Solution

The fourth proportional to 447.30, 617.24 and 248.11 is: 342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.30 : 617.24 = 248.11 : x
  2. Step 2: Convert to fraction form
    447.30/617.24 = 248.11/x
  3. Step 3: Cross multiply
    447.30x = 617.24 × 248.11
  4. Step 4: Simplify right side
    447.30x = 153,143.42
  5. Step 5: Solve for x
    x = 153,143.42/447.30
  6. Step 6: Final answer
    x = 342.37

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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.