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Finding the Fourth Proportional to 583.10, 804.68 and 321.11

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Solution

The fourth proportional to 583.10, 804.68 and 321.11 is: 443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.10 : 804.68 = 321.11 : x
  2. Step 2: Convert to fraction form
    583.10/804.68 = 321.11/x
  3. Step 3: Cross multiply
    583.10x = 804.68 × 321.11
  4. Step 4: Simplify right side
    583.10x = 258,390.79
  5. Step 5: Solve for x
    x = 258,390.79/583.10
  6. Step 6: Final answer
    x = 443.14

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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.