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Finding the Fourth Proportional to 684.04, 943.77 and 389.31

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Solution

The fourth proportional to 684.04, 943.77 and 389.31 is: 537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.04 : 943.77 = 389.31 : x
  2. Step 2: Convert to fraction form
    684.04/943.77 = 389.31/x
  3. Step 3: Cross multiply
    684.04x = 943.77 × 389.31
  4. Step 4: Simplify right side
    684.04x = 367,419.10
  5. Step 5: Solve for x
    x = 367,419.10/684.04
  6. Step 6: Final answer
    x = 537.13

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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.