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Finding the Fourth Proportional to 684, 943.91 and 389.21

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Solution

The fourth proportional to 684, 943.91 and 389.21 is: 537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    684 : 943.91 = 389.21 : x
  2. Step 2: Convert to fraction form
    684/943.91 = 389.21/x
  3. Step 3: Cross multiply
    684x = 943.91 × 389.21
  4. Step 4: Simplify right side
    684x = 367,379.21
  5. Step 5: Solve for x
    x = 367,379.21/684
  6. Step 6: Final answer
    x = 537.10

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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.