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Finding the Fourth Proportional to 405.41, 559.10 and 257.99

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Solution

The fourth proportional to 405.41, 559.10 and 257.99 is: 355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.41 : 559.10 = 257.99 : x
  2. Step 2: Convert to fraction form
    405.41/559.10 = 257.99/x
  3. Step 3: Cross multiply
    405.41x = 559.10 × 257.99
  4. Step 4: Simplify right side
    405.41x = 144,240.06
  5. Step 5: Solve for x
    x = 144,240.06/405.41
  6. Step 6: Final answer
    x = 355.79

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