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Finding the Fourth Proportional to 583.92, 806.19 and 374.18

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Solution

The fourth proportional to 583.92, 806.19 and 374.18 is: 516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 806.19 = 374.18 : x
  2. Step 2: Convert to fraction form
    583.92/806.19 = 374.18/x
  3. Step 3: Cross multiply
    583.92x = 806.19 × 374.18
  4. Step 4: Simplify right side
    583.92x = 301,661.99
  5. Step 5: Solve for x
    x = 301,661.99/583.92
  6. Step 6: Final answer
    x = 516.61

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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.