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Finding the Fourth Proportional to 604.75, 906.71 and 239.58

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Solution

The fourth proportional to 604.75, 906.71 and 239.58 is: 359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.75 : 906.71 = 239.58 : x
  2. Step 2: Convert to fraction form
    604.75/906.71 = 239.58/x
  3. Step 3: Cross multiply
    604.75x = 906.71 × 239.58
  4. Step 4: Simplify right side
    604.75x = 217,229.58
  5. Step 5: Solve for x
    x = 217,229.58/604.75
  6. Step 6: Final answer
    x = 359.21

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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.