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Finding the Fourth Proportional to 604.31, 906.19 and 193.36

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Solution

The fourth proportional to 604.31, 906.19 and 193.36 is: 289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.31 : 906.19 = 193.36 : x
  2. Step 2: Convert to fraction form
    604.31/906.19 = 193.36/x
  3. Step 3: Cross multiply
    604.31x = 906.19 × 193.36
  4. Step 4: Simplify right side
    604.31x = 175,215.88
  5. Step 5: Solve for x
    x = 175,215.88/604.31
  6. Step 6: Final answer
    x = 289.94

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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.