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Finding the Fourth Proportional to 447.72, 672.18 and 433.14

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Solution

The fourth proportional to 447.72, 672.18 and 433.14 is: 650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.72 : 672.18 = 433.14 : x
  2. Step 2: Convert to fraction form
    447.72/672.18 = 433.14/x
  3. Step 3: Cross multiply
    447.72x = 672.18 × 433.14
  4. Step 4: Simplify right side
    447.72x = 291,148.05
  5. Step 5: Solve for x
    x = 291,148.05/447.72
  6. Step 6: Final answer
    x = 650.29

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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.