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Finding the Fourth Proportional to 604.29, 906.50 and 214.21

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Solution

The fourth proportional to 604.29, 906.50 and 214.21 is: 321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.29 : 906.50 = 214.21 : x
  2. Step 2: Convert to fraction form
    604.29/906.50 = 214.21/x
  3. Step 3: Cross multiply
    604.29x = 906.50 × 214.21
  4. Step 4: Simplify right side
    604.29x = 194,179.63
  5. Step 5: Solve for x
    x = 194,179.63/604.29
  6. Step 6: Final answer
    x = 321.34

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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.