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Finding the Fourth Proportional to 583.25, 804.89 and 321.27

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Solution

The fourth proportional to 583.25, 804.89 and 321.27 is: 443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.25 : 804.89 = 321.27 : x
  2. Step 2: Convert to fraction form
    583.25/804.89 = 321.27/x
  3. Step 3: Cross multiply
    583.25x = 804.89 × 321.27
  4. Step 4: Simplify right side
    583.25x = 258,585.40
  5. Step 5: Solve for x
    x = 258,585.40/583.25
  6. Step 6: Final answer
    x = 443.35

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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.