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Finding the Fourth Proportional to 684.20, 944.33 and 389.43

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Solution

The fourth proportional to 684.20, 944.33 and 389.43 is: 537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.20 : 944.33 = 389.43 : x
  2. Step 2: Convert to fraction form
    684.20/944.33 = 389.43/x
  3. Step 3: Cross multiply
    684.20x = 944.33 × 389.43
  4. Step 4: Simplify right side
    684.20x = 367,748.48
  5. Step 5: Solve for x
    x = 367,748.48/684.20
  6. Step 6: Final answer
    x = 537.48

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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.