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Finding the Fourth Proportional to 397.92, 596.88 and 260.64

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Solution

The fourth proportional to 397.92, 596.88 and 260.64 is: 390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.92 : 596.88 = 260.64 : x
  2. Step 2: Convert to fraction form
    397.92/596.88 = 260.64/x
  3. Step 3: Cross multiply
    397.92x = 596.88 × 260.64
  4. Step 4: Simplify right side
    397.92x = 155,570.80
  5. Step 5: Solve for x
    x = 155,570.80/397.92
  6. Step 6: Final answer
    x = 390.96

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