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Finding the Fourth Proportional to 604.27, 906.41 and 171.43

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Solution

The fourth proportional to 604.27, 906.41 and 171.43 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.27 : 906.41 = 171.43 : x
  2. Step 2: Convert to fraction form
    604.27/906.41 = 171.43/x
  3. Step 3: Cross multiply
    604.27x = 906.41 × 171.43
  4. Step 4: Simplify right side
    604.27x = 155,384.03
  5. Step 5: Solve for x
    x = 155,384.03/604.27
  6. Step 6: Final answer
    x = 257.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.