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Finding the Fourth Proportional to 684.74, 944.70 and 422.66

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Solution

The fourth proportional to 684.74, 944.70 and 422.66 is: 583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.74 : 944.70 = 422.66 : x
  2. Step 2: Convert to fraction form
    684.74/944.70 = 422.66/x
  3. Step 3: Cross multiply
    684.74x = 944.70 × 422.66
  4. Step 4: Simplify right side
    684.74x = 399,286.90
  5. Step 5: Solve for x
    x = 399,286.90/684.74
  6. Step 6: Final answer
    x = 583.12

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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.