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Finding the Fourth Proportional to 390.23, 585.39 and 173.78

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Solution

The fourth proportional to 390.23, 585.39 and 173.78 is: 260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.23 : 585.39 = 173.78 : x
  2. Step 2: Convert to fraction form
    390.23/585.39 = 173.78/x
  3. Step 3: Cross multiply
    390.23x = 585.39 × 173.78
  4. Step 4: Simplify right side
    390.23x = 101,729.07
  5. Step 5: Solve for x
    x = 101,729.07/390.23
  6. Step 6: Final answer
    x = 260.69

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