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Finding the Fourth Proportional to 573.41, 859.21 and 443.73

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Solution

The fourth proportional to 573.41, 859.21 and 443.73 is: 664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.41 : 859.21 = 443.73 : x
  2. Step 2: Convert to fraction form
    573.41/859.21 = 443.73/x
  3. Step 3: Cross multiply
    573.41x = 859.21 × 443.73
  4. Step 4: Simplify right side
    573.41x = 381,254.53
  5. Step 5: Solve for x
    x = 381,254.53/573.41
  6. Step 6: Final answer
    x = 664.89

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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.