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Finding the Fourth Proportional to 435.94, 653.27 and 422.80

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Solution

The fourth proportional to 435.94, 653.27 and 422.80 is: 633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.94 : 653.27 = 422.80 : x
  2. Step 2: Convert to fraction form
    435.94/653.27 = 422.80/x
  3. Step 3: Cross multiply
    435.94x = 653.27 × 422.80
  4. Step 4: Simplify right side
    435.94x = 276,202.56
  5. Step 5: Solve for x
    x = 276,202.56/435.94
  6. Step 6: Final answer
    x = 633.58

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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.