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Finding the Fourth Proportional to 583.56, 804.78 and 408.96

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Solution

The fourth proportional to 583.56, 804.78 and 408.96 is: 563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.56 : 804.78 = 408.96 : x
  2. Step 2: Convert to fraction form
    583.56/804.78 = 408.96/x
  3. Step 3: Cross multiply
    583.56x = 804.78 × 408.96
  4. Step 4: Simplify right side
    583.56x = 329,122.83
  5. Step 5: Solve for x
    x = 329,122.83/583.56
  6. Step 6: Final answer
    x = 563.99

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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.