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Finding the Fourth Proportional to 684.18, 943.79 and 422.01

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Solution

The fourth proportional to 684.18, 943.79 and 422.01 is: 582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.18 : 943.79 = 422.01 : x
  2. Step 2: Convert to fraction form
    684.18/943.79 = 422.01/x
  3. Step 3: Cross multiply
    684.18x = 943.79 × 422.01
  4. Step 4: Simplify right side
    684.18x = 398,286.71
  5. Step 5: Solve for x
    x = 398,286.71/684.18
  6. Step 6: Final answer
    x = 582.14

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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.