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Finding the Fourth Proportional to 574.26, 861.26 and 285.63

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Solution

The fourth proportional to 574.26, 861.26 and 285.63 is: 428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.26 : 861.26 = 285.63 : x
  2. Step 2: Convert to fraction form
    574.26/861.26 = 285.63/x
  3. Step 3: Cross multiply
    574.26x = 861.26 × 285.63
  4. Step 4: Simplify right side
    574.26x = 246,000.27
  5. Step 5: Solve for x
    x = 246,000.27/574.26
  6. Step 6: Final answer
    x = 428.38

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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.