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Finding the Fourth Proportional to 583.31, 804.97 and 321.35

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Solution

The fourth proportional to 583.31, 804.97 and 321.35 is: 443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.31 : 804.97 = 321.35 : x
  2. Step 2: Convert to fraction form
    583.31/804.97 = 321.35/x
  3. Step 3: Cross multiply
    583.31x = 804.97 × 321.35
  4. Step 4: Simplify right side
    583.31x = 258,673.49
  5. Step 5: Solve for x
    x = 258,673.49/583.31
  6. Step 6: Final answer
    x = 443.46

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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.