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Finding the Fourth Proportional to 583.16, 804.74 and 321.17

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Solution

The fourth proportional to 583.16, 804.74 and 321.17 is: 443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.16 : 804.74 = 321.17 : x
  2. Step 2: Convert to fraction form
    583.16/804.74 = 321.17/x
  3. Step 3: Cross multiply
    583.16x = 804.74 × 321.17
  4. Step 4: Simplify right side
    583.16x = 258,452.72
  5. Step 5: Solve for x
    x = 258,452.72/583.16
  6. Step 6: Final answer
    x = 443.20

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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.