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Finding the Fourth Proportional to 582.41, 873.65 and 257.78

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Solution

The fourth proportional to 582.41, 873.65 and 257.78 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.41 : 873.65 = 257.78 : x
  2. Step 2: Convert to fraction form
    582.41/873.65 = 257.78/x
  3. Step 3: Cross multiply
    582.41x = 873.65 × 257.78
  4. Step 4: Simplify right side
    582.41x = 225,203.84
  5. Step 5: Solve for x
    x = 225,203.84/582.41
  6. Step 6: Final answer
    x = 386.68

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