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Finding the Fourth Proportional to 390.02, 585.07 and 116.08

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Solution

The fourth proportional to 390.02, 585.07 and 116.08 is: 174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.02 : 585.07 = 116.08 : x
  2. Step 2: Convert to fraction form
    390.02/585.07 = 116.08/x
  3. Step 3: Cross multiply
    390.02x = 585.07 × 116.08
  4. Step 4: Simplify right side
    390.02x = 67,917.12
  5. Step 5: Solve for x
    x = 67,917.12/390.02
  6. Step 6: Final answer
    x = 174.14

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