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Finding the Fourth Proportional to 447.26, 670.41 and 252.32

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Solution

The fourth proportional to 447.26, 670.41 and 252.32 is: 378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.26 : 670.41 = 252.32 : x
  2. Step 2: Convert to fraction form
    447.26/670.41 = 252.32/x
  3. Step 3: Cross multiply
    447.26x = 670.41 × 252.32
  4. Step 4: Simplify right side
    447.26x = 169,154.50
  5. Step 5: Solve for x
    x = 169,154.50/447.26
  6. Step 6: Final answer
    x = 378.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.