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Finding the Fourth Proportional to 320.05, 477.65 and 311.85

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Solution

The fourth proportional to 320.05, 477.65 and 311.85 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.05 : 477.65 = 311.85 : x
  2. Step 2: Convert to fraction form
    320.05/477.65 = 311.85/x
  3. Step 3: Cross multiply
    320.05x = 477.65 × 311.85
  4. Step 4: Simplify right side
    320.05x = 148,955.93
  5. Step 5: Solve for x
    x = 148,955.93/320.05
  6. Step 6: Final answer
    x = 465.41

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