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Finding the Fourth Proportional to 390.78, 539.05 and 258.00

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Solution

The fourth proportional to 390.78, 539.05 and 258.00 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.78 : 539.05 = 258.00 : x
  2. Step 2: Convert to fraction form
    390.78/539.05 = 258.00/x
  3. Step 3: Cross multiply
    390.78x = 539.05 × 258.00
  4. Step 4: Simplify right side
    390.78x = 139,076.54
  5. Step 5: Solve for x
    x = 139,076.54/390.78
  6. Step 6: Final answer
    x = 355.89

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