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Finding the Fourth Proportional to 387.41, 580.28 and 257.47

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Solution

The fourth proportional to 387.41, 580.28 and 257.47 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.41 : 580.28 = 257.47 : x
  2. Step 2: Convert to fraction form
    387.41/580.28 = 257.47/x
  3. Step 3: Cross multiply
    387.41x = 580.28 × 257.47
  4. Step 4: Simplify right side
    387.41x = 149,404.69
  5. Step 5: Solve for x
    x = 149,404.69/387.41
  6. Step 6: Final answer
    x = 385.65

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