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Finding the Fourth Proportional to 447.88, 672.09 and 217.01

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Solution

The fourth proportional to 447.88, 672.09 and 217.01 is: 325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.88 : 672.09 = 217.01 : x
  2. Step 2: Convert to fraction form
    447.88/672.09 = 217.01/x
  3. Step 3: Cross multiply
    447.88x = 672.09 × 217.01
  4. Step 4: Simplify right side
    447.88x = 145,845.81
  5. Step 5: Solve for x
    x = 145,845.81/447.88
  6. Step 6: Final answer
    x = 325.64

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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.