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Finding the Fourth Proportional to 684.02, 943.66 and 389.04

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Solution

The fourth proportional to 684.02, 943.66 and 389.04 is: 536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.02 : 943.66 = 389.04 : x
  2. Step 2: Convert to fraction form
    684.02/943.66 = 389.04/x
  3. Step 3: Cross multiply
    684.02x = 943.66 × 389.04
  4. Step 4: Simplify right side
    684.02x = 367,121.49
  5. Step 5: Solve for x
    x = 367,121.49/684.02
  6. Step 6: Final answer
    x = 536.71

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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.