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Finding the Fourth Proportional to 684.63, 944.55 and 389.82

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Solution

The fourth proportional to 684.63, 944.55 and 389.82 is: 537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.63 : 944.55 = 389.82 : x
  2. Step 2: Convert to fraction form
    684.63/944.55 = 389.82/x
  3. Step 3: Cross multiply
    684.63x = 944.55 × 389.82
  4. Step 4: Simplify right side
    684.63x = 368,204.48
  5. Step 5: Solve for x
    x = 368,204.48/684.63
  6. Step 6: Final answer
    x = 537.82

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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.