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Finding the Fourth Proportional to 684.21, 943.74 and 422.04

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Solution

The fourth proportional to 684.21, 943.74 and 422.04 is: 582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.21 : 943.74 = 422.04 : x
  2. Step 2: Convert to fraction form
    684.21/943.74 = 422.04/x
  3. Step 3: Cross multiply
    684.21x = 943.74 × 422.04
  4. Step 4: Simplify right side
    684.21x = 398,296.03
  5. Step 5: Solve for x
    x = 398,296.03/684.21
  6. Step 6: Final answer
    x = 582.13

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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.