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Finding the Fourth Proportional to 583.24, 804.86 and 321.25

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Solution

The fourth proportional to 583.24, 804.86 and 321.25 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.24 : 804.86 = 321.25 : x
  2. Step 2: Convert to fraction form
    583.24/804.86 = 321.25/x
  3. Step 3: Cross multiply
    583.24x = 804.86 × 321.25
  4. Step 4: Simplify right side
    583.24x = 258,562.08
  5. Step 5: Solve for x
    x = 258,562.08/583.24
  6. Step 6: Final answer
    x = 443.32

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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.