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Finding the Fourth Proportional to 683.94, 943.97 and 389.37

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Solution

The fourth proportional to 683.94, 943.97 and 389.37 is: 537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.94 : 943.97 = 389.37 : x
  2. Step 2: Convert to fraction form
    683.94/943.97 = 389.37/x
  3. Step 3: Cross multiply
    683.94x = 943.97 × 389.37
  4. Step 4: Simplify right side
    683.94x = 367,551.65
  5. Step 5: Solve for x
    x = 367,551.65/683.94
  6. Step 6: Final answer
    x = 537.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.