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Finding the Fourth Proportional to 390.16, 585.30 and 170.77

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Solution

The fourth proportional to 390.16, 585.30 and 170.77 is: 256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.16 : 585.30 = 170.77 : x
  2. Step 2: Convert to fraction form
    390.16/585.30 = 170.77/x
  3. Step 3: Cross multiply
    390.16x = 585.30 × 170.77
  4. Step 4: Simplify right side
    390.16x = 99,951.68
  5. Step 5: Solve for x
    x = 99,951.68/390.16
  6. Step 6: Final answer
    x = 256.18

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