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Finding the Fourth Proportional to 583.57, 805.31 and 321.59

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Solution

The fourth proportional to 583.57, 805.31 and 321.59 is: 443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.57 : 805.31 = 321.59 : x
  2. Step 2: Convert to fraction form
    583.57/805.31 = 321.59/x
  3. Step 3: Cross multiply
    583.57x = 805.31 × 321.59
  4. Step 4: Simplify right side
    583.57x = 258,976.72
  5. Step 5: Solve for x
    x = 258,976.72/583.57
  6. Step 6: Final answer
    x = 443.78

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