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Finding the Fourth Proportional to 583.63, 805.46 and 321.69

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Solution

The fourth proportional to 583.63, 805.46 and 321.69 is: 443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.63 : 805.46 = 321.69 : x
  2. Step 2: Convert to fraction form
    583.63/805.46 = 321.69/x
  3. Step 3: Cross multiply
    583.63x = 805.46 × 321.69
  4. Step 4: Simplify right side
    583.63x = 259,108.43
  5. Step 5: Solve for x
    x = 259,108.43/583.63
  6. Step 6: Final answer
    x = 443.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.