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Finding the Fourth Proportional to 583.18, 804.78 and 321.19

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Solution

The fourth proportional to 583.18, 804.78 and 321.19 is: 443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.18 : 804.78 = 321.19 : x
  2. Step 2: Convert to fraction form
    583.18/804.78 = 321.19/x
  3. Step 3: Cross multiply
    583.18x = 804.78 × 321.19
  4. Step 4: Simplify right side
    583.18x = 258,485.28
  5. Step 5: Solve for x
    x = 258,485.28/583.18
  6. Step 6: Final answer
    x = 443.24

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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.