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Finding the Fourth Proportional to 447.27, 670.73 and 216.15

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Solution

The fourth proportional to 447.27, 670.73 and 216.15 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.27 : 670.73 = 216.15 : x
  2. Step 2: Convert to fraction form
    447.27/670.73 = 216.15/x
  3. Step 3: Cross multiply
    447.27x = 670.73 × 216.15
  4. Step 4: Simplify right side
    447.27x = 144,977.21
  5. Step 5: Solve for x
    x = 144,977.21/447.27
  6. Step 6: Final answer
    x = 324.14

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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.