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Finding the Fourth Proportional to 604.23, 906.42 and 257.58

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Solution

The fourth proportional to 604.23, 906.42 and 257.58 is: 386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.23 : 906.42 = 257.58 : x
  2. Step 2: Convert to fraction form
    604.23/906.42 = 257.58/x
  3. Step 3: Cross multiply
    604.23x = 906.42 × 257.58
  4. Step 4: Simplify right side
    604.23x = 233,476.63
  5. Step 5: Solve for x
    x = 233,476.63/604.23
  6. Step 6: Final answer
    x = 386.41

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