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Finding the Fourth Proportional to 583.22, 804.94 and 408.44

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Solution

The fourth proportional to 583.22, 804.94 and 408.44 is: 563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.22 : 804.94 = 408.44 : x
  2. Step 2: Convert to fraction form
    583.22/804.94 = 408.44/x
  3. Step 3: Cross multiply
    583.22x = 804.94 × 408.44
  4. Step 4: Simplify right side
    583.22x = 328,769.69
  5. Step 5: Solve for x
    x = 328,769.69/583.22
  6. Step 6: Final answer
    x = 563.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.