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Finding the Fourth Proportional to 684.07, 944.12 and 389.43

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Solution

The fourth proportional to 684.07, 944.12 and 389.43 is: 537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.07 : 944.12 = 389.43 : x
  2. Step 2: Convert to fraction form
    684.07/944.12 = 389.43/x
  3. Step 3: Cross multiply
    684.07x = 944.12 × 389.43
  4. Step 4: Simplify right side
    684.07x = 367,669.63
  5. Step 5: Solve for x
    x = 367,669.63/684.07
  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.