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Finding the Fourth Proportional to 488.86, 732.83 and 180.56

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Solution

The fourth proportional to 488.86, 732.83 and 180.56 is: 270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.86 : 732.83 = 180.56 : x
  2. Step 2: Convert to fraction form
    488.86/732.83 = 180.56/x
  3. Step 3: Cross multiply
    488.86x = 732.83 × 180.56
  4. Step 4: Simplify right side
    488.86x = 132,320.71
  5. Step 5: Solve for x
    x = 132,320.71/488.86
  6. Step 6: Final answer
    x = 270.67

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