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Finding the Fourth Proportional to 684.68, 944.96 and 389.97

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Solution

The fourth proportional to 684.68, 944.96 and 389.97 is: 538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.68 : 944.96 = 389.97 : x
  2. Step 2: Convert to fraction form
    684.68/944.96 = 389.97/x
  3. Step 3: Cross multiply
    684.68x = 944.96 × 389.97
  4. Step 4: Simplify right side
    684.68x = 368,504.10
  5. Step 5: Solve for x
    x = 368,504.10/684.68
  6. Step 6: Final answer
    x = 538.22

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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.