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Finding the Fourth Proportional to 684.36, 944.61 and 389.82

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Solution

The fourth proportional to 684.36, 944.61 and 389.82 is: 538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.36 : 944.61 = 389.82 : x
  2. Step 2: Convert to fraction form
    684.36/944.61 = 389.82/x
  3. Step 3: Cross multiply
    684.36x = 944.61 × 389.82
  4. Step 4: Simplify right side
    684.36x = 368,227.87
  5. Step 5: Solve for x
    x = 368,227.87/684.36
  6. Step 6: Final answer
    x = 538.06

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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.