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Finding the Fourth Proportional to 684.31, 944.33 and 389.53

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Solution

The fourth proportional to 684.31, 944.33 and 389.53 is: 537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.31 : 944.33 = 389.53 : x
  2. Step 2: Convert to fraction form
    684.31/944.33 = 389.53/x
  3. Step 3: Cross multiply
    684.31x = 944.33 × 389.53
  4. Step 4: Simplify right side
    684.31x = 367,844.86
  5. Step 5: Solve for x
    x = 367,844.86/684.31
  6. Step 6: Final answer
    x = 537.54

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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.