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Finding the Fourth Proportional to 684.93, 944.82 and 422.76

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Solution

The fourth proportional to 684.93, 944.82 and 422.76 is: 583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.93 : 944.82 = 422.76 : x
  2. Step 2: Convert to fraction form
    684.93/944.82 = 422.76/x
  3. Step 3: Cross multiply
    684.93x = 944.82 × 422.76
  4. Step 4: Simplify right side
    684.93x = 399,432.10
  5. Step 5: Solve for x
    x = 399,432.10/684.93
  6. Step 6: Final answer
    x = 583.17

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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.