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Finding the Fourth Proportional to 380.16, 569.67 and 257.97

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Solution

The fourth proportional to 380.16, 569.67 and 257.97 is: 386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 569.67 = 257.97 : x
  2. Step 2: Convert to fraction form
    380.16/569.67 = 257.97/x
  3. Step 3: Cross multiply
    380.16x = 569.67 × 257.97
  4. Step 4: Simplify right side
    380.16x = 146,957.77
  5. Step 5: Solve for x
    x = 146,957.77/380.16
  6. Step 6: Final answer
    x = 386.57

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