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Finding the Fourth Proportional to 390.40, 585.76 and 147

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Solution

The fourth proportional to 390.40, 585.76 and 147 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.40 : 585.76 = 147 : x
  2. Step 2: Convert to fraction form
    390.40/585.76 = 147/x
  3. Step 3: Cross multiply
    390.40x = 585.76 × 147
  4. Step 4: Simplify right side
    390.40x = 86,106.72
  5. Step 5: Solve for x
    x = 86,106.72/390.40
  6. Step 6: Final answer
    x = 220.56

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