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Finding the Fourth Proportional to 664.20, 993.64 and 573.88

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Solution

The fourth proportional to 664.20, 993.64 and 573.88 is: 858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.20 : 993.64 = 573.88 : x
  2. Step 2: Convert to fraction form
    664.20/993.64 = 573.88/x
  3. Step 3: Cross multiply
    664.20x = 993.64 × 573.88
  4. Step 4: Simplify right side
    664.20x = 570,230.12
  5. Step 5: Solve for x
    x = 570,230.12/664.20
  6. Step 6: Final answer
    x = 858.52

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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.