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Finding the Fourth Proportional to 604.23, 906.41 and 171.39

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Solution

The fourth proportional to 604.23, 906.41 and 171.39 is: 257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.23 : 906.41 = 171.39 : x
  2. Step 2: Convert to fraction form
    604.23/906.41 = 171.39/x
  3. Step 3: Cross multiply
    604.23x = 906.41 × 171.39
  4. Step 4: Simplify right side
    604.23x = 155,349.61
  5. Step 5: Solve for x
    x = 155,349.61/604.23
  6. Step 6: Final answer
    x = 257.10

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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.