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Finding the Fourth Proportional to 604.25, 906.50 and 214.26

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Solution

The fourth proportional to 604.25, 906.50 and 214.26 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.25 : 906.50 = 214.26 : x
  2. Step 2: Convert to fraction form
    604.25/906.50 = 214.26/x
  3. Step 3: Cross multiply
    604.25x = 906.50 × 214.26
  4. Step 4: Simplify right side
    604.25x = 194,226.69
  5. Step 5: Solve for x
    x = 194,226.69/604.25
  6. Step 6: Final answer
    x = 321.43

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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.