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Finding the Fourth Proportional to 447.24, 670.26 and 216.12

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Solution

The fourth proportional to 447.24, 670.26 and 216.12 is: 323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.24 : 670.26 = 216.12 : x
  2. Step 2: Convert to fraction form
    447.24/670.26 = 216.12/x
  3. Step 3: Cross multiply
    447.24x = 670.26 × 216.12
  4. Step 4: Simplify right side
    447.24x = 144,856.59
  5. Step 5: Solve for x
    x = 144,856.59/447.24
  6. Step 6: Final answer
    x = 323.89

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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.