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Finding the Fourth Proportional to 604.32, 906.51 and 219.57

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Solution

The fourth proportional to 604.32, 906.51 and 219.57 is: 329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.32 : 906.51 = 219.57 : x
  2. Step 2: Convert to fraction form
    604.32/906.51 = 219.57/x
  3. Step 3: Cross multiply
    604.32x = 906.51 × 219.57
  4. Step 4: Simplify right side
    604.32x = 199,042.40
  5. Step 5: Solve for x
    x = 199,042.40/604.32
  6. Step 6: Final answer
    x = 329.37

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