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Finding the Fourth Proportional to 642.80, 886.97 and 394.27

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Solution

The fourth proportional to 642.80, 886.97 and 394.27 is: 544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.80 : 886.97 = 394.27 : x
  2. Step 2: Convert to fraction form
    642.80/886.97 = 394.27/x
  3. Step 3: Cross multiply
    642.80x = 886.97 × 394.27
  4. Step 4: Simplify right side
    642.80x = 349,704.43
  5. Step 5: Solve for x
    x = 349,704.43/642.80
  6. Step 6: Final answer
    x = 544.03

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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.