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Finding the Fourth Proportional to 703.91, 971.43 and 389.23

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Solution

The fourth proportional to 703.91, 971.43 and 389.23 is: 537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.91 : 971.43 = 389.23 : x
  2. Step 2: Convert to fraction form
    703.91/971.43 = 389.23/x
  3. Step 3: Cross multiply
    703.91x = 971.43 × 389.23
  4. Step 4: Simplify right side
    703.91x = 378,107.27
  5. Step 5: Solve for x
    x = 378,107.27/703.91
  6. Step 6: Final answer
    x = 537.15

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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.