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Finding the Fourth Proportional to 604.25, 905.96 and 239.08

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Solution

The fourth proportional to 604.25, 905.96 and 239.08 is: 358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.25 : 905.96 = 239.08 : x
  2. Step 2: Convert to fraction form
    604.25/905.96 = 239.08/x
  3. Step 3: Cross multiply
    604.25x = 905.96 × 239.08
  4. Step 4: Simplify right side
    604.25x = 216,596.92
  5. Step 5: Solve for x
    x = 216,596.92/604.25
  6. Step 6: Final answer
    x = 358.46

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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.