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Finding the Fourth Proportional to 389.76, 585 and 207.42

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Solution

The fourth proportional to 389.76, 585 and 207.42 is: 311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.76 : 585 = 207.42 : x
  2. Step 2: Convert to fraction form
    389.76/585 = 207.42/x
  3. Step 3: Cross multiply
    389.76x = 585 × 207.42
  4. Step 4: Simplify right side
    389.76x = 121,340.70
  5. Step 5: Solve for x
    x = 121,340.70/389.76
  6. Step 6: Final answer
    x = 311.32

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