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Finding the Fourth Proportional to 684.16, 944.11 and 385.42

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Solution

The fourth proportional to 684.16, 944.11 and 385.42 is: 531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.16 : 944.11 = 385.42 : x
  2. Step 2: Convert to fraction form
    684.16/944.11 = 385.42/x
  3. Step 3: Cross multiply
    684.16x = 944.11 × 385.42
  4. Step 4: Simplify right side
    684.16x = 363,874.16
  5. Step 5: Solve for x
    x = 363,874.16/684.16
  6. Step 6: Final answer
    x = 531.86

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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.