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Finding the Fourth Proportional to 390.76, 585.96 and 185.28

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Solution

The fourth proportional to 390.76, 585.96 and 185.28 is: 277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.76 : 585.96 = 185.28 : x
  2. Step 2: Convert to fraction form
    390.76/585.96 = 185.28/x
  3. Step 3: Cross multiply
    390.76x = 585.96 × 185.28
  4. Step 4: Simplify right side
    390.76x = 108,566.67
  5. Step 5: Solve for x
    x = 108,566.67/390.76
  6. Step 6: Final answer
    x = 277.83

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