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Finding the Fourth Proportional to 447.24, 617.26 and 258.24

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Solution

The fourth proportional to 447.24, 617.26 and 258.24 is: 356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.24 : 617.26 = 258.24 : x
  2. Step 2: Convert to fraction form
    447.24/617.26 = 258.24/x
  3. Step 3: Cross multiply
    447.24x = 617.26 × 258.24
  4. Step 4: Simplify right side
    447.24x = 159,401.22
  5. Step 5: Solve for x
    x = 159,401.22/447.24
  6. Step 6: Final answer
    x = 356.41

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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.