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Finding the Fourth Proportional to 471.45, 650.40 and 323.83

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Solution

The fourth proportional to 471.45, 650.40 and 323.83 is: 446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.45 : 650.40 = 323.83 : x
  2. Step 2: Convert to fraction form
    471.45/650.40 = 323.83/x
  3. Step 3: Cross multiply
    471.45x = 650.40 × 323.83
  4. Step 4: Simplify right side
    471.45x = 210,619.03
  5. Step 5: Solve for x
    x = 210,619.03/471.45
  6. Step 6: Final answer
    x = 446.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.