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Finding the Fourth Proportional to 574.41, 861.01 and 281.75

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Solution

The fourth proportional to 574.41, 861.01 and 281.75 is: 422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.41 : 861.01 = 281.75 : x
  2. Step 2: Convert to fraction form
    574.41/861.01 = 281.75/x
  3. Step 3: Cross multiply
    574.41x = 861.01 × 281.75
  4. Step 4: Simplify right side
    574.41x = 242,584.56
  5. Step 5: Solve for x
    x = 242,584.56/574.41
  6. Step 6: Final answer
    x = 422.32

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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.