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Finding the Fourth Proportional to 389.16, 536.67 and 257.94

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Solution

The fourth proportional to 389.16, 536.67 and 257.94 is: 355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.16 : 536.67 = 257.94 : x
  2. Step 2: Convert to fraction form
    389.16/536.67 = 257.94/x
  3. Step 3: Cross multiply
    389.16x = 536.67 × 257.94
  4. Step 4: Simplify right side
    389.16x = 138,428.66
  5. Step 5: Solve for x
    x = 138,428.66/389.16
  6. Step 6: Final answer
    x = 355.71

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