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Finding the Fourth Proportional to 433.96, 650.78 and 414.92

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Solution

The fourth proportional to 433.96, 650.78 and 414.92 is: 622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.96 : 650.78 = 414.92 : x
  2. Step 2: Convert to fraction form
    433.96/650.78 = 414.92/x
  3. Step 3: Cross multiply
    433.96x = 650.78 × 414.92
  4. Step 4: Simplify right side
    433.96x = 270,021.64
  5. Step 5: Solve for x
    x = 270,021.64/433.96
  6. Step 6: Final answer
    x = 622.23

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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.