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Finding the Fourth Proportional to 583.89, 806.09 and 374.21

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Solution

The fourth proportional to 583.89, 806.09 and 374.21 is: 516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.89 : 806.09 = 374.21 : x
  2. Step 2: Convert to fraction form
    583.89/806.09 = 374.21/x
  3. Step 3: Cross multiply
    583.89x = 806.09 × 374.21
  4. Step 4: Simplify right side
    583.89x = 301,641.04
  5. Step 5: Solve for x
    x = 301,641.04/583.89
  6. Step 6: Final answer
    x = 516.61

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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.