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Finding the Fourth Proportional to 579.96, 799.61 and 422.82

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Solution

The fourth proportional to 579.96, 799.61 and 422.82 is: 582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.96 : 799.61 = 422.82 : x
  2. Step 2: Convert to fraction form
    579.96/799.61 = 422.82/x
  3. Step 3: Cross multiply
    579.96x = 799.61 × 422.82
  4. Step 4: Simplify right side
    579.96x = 338,088.99
  5. Step 5: Solve for x
    x = 338,088.99/579.96
  6. Step 6: Final answer
    x = 582.95

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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.