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Finding the Fourth Proportional to 684.51, 944.19 and 422.25

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Solution

The fourth proportional to 684.51, 944.19 and 422.25 is: 582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.51 : 944.19 = 422.25 : x
  2. Step 2: Convert to fraction form
    684.51/944.19 = 422.25/x
  3. Step 3: Cross multiply
    684.51x = 944.19 × 422.25
  4. Step 4: Simplify right side
    684.51x = 398,684.23
  5. Step 5: Solve for x
    x = 398,684.23/684.51
  6. Step 6: Final answer
    x = 582.44

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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.