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Finding the Fourth Proportional to 604.71, 906.52 and 219.87

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Solution

The fourth proportional to 604.71, 906.52 and 219.87 is: 329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.71 : 906.52 = 219.87 : x
  2. Step 2: Convert to fraction form
    604.71/906.52 = 219.87/x
  3. Step 3: Cross multiply
    604.71x = 906.52 × 219.87
  4. Step 4: Simplify right side
    604.71x = 199,316.55
  5. Step 5: Solve for x
    x = 199,316.55/604.71
  6. Step 6: Final answer
    x = 329.61

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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.