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Finding the Fourth Proportional to 684.03, 943.97 and 389.33

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Solution

The fourth proportional to 684.03, 943.97 and 389.33 is: 537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.03 : 943.97 = 389.33 : x
  2. Step 2: Convert to fraction form
    684.03/943.97 = 389.33/x
  3. Step 3: Cross multiply
    684.03x = 943.97 × 389.33
  4. Step 4: Simplify right side
    684.03x = 367,509.17
  5. Step 5: Solve for x
    x = 367,509.17/684.03
  6. Step 6: Final answer
    x = 537.27

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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.