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Finding the Fourth Proportional to 583.47, 805.17 and 321.49

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Solution

The fourth proportional to 583.47, 805.17 and 321.49 is: 443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.47 : 805.17 = 321.49 : x
  2. Step 2: Convert to fraction form
    583.47/805.17 = 321.49/x
  3. Step 3: Cross multiply
    583.47x = 805.17 × 321.49
  4. Step 4: Simplify right side
    583.47x = 258,850.08
  5. Step 5: Solve for x
    x = 258,850.08/583.47
  6. Step 6: Final answer
    x = 443.64

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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.