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Finding the Fourth Proportional to 568.73, 853.23 and 406.73

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Solution

The fourth proportional to 568.73, 853.23 and 406.73 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.73 : 853.23 = 406.73 : x
  2. Step 2: Convert to fraction form
    568.73/853.23 = 406.73/x
  3. Step 3: Cross multiply
    568.73x = 853.23 × 406.73
  4. Step 4: Simplify right side
    568.73x = 347,029.97
  5. Step 5: Solve for x
    x = 347,029.97/568.73
  6. Step 6: Final answer
    x = 610.19

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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.