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Finding the Fourth Proportional to 471.82, 650.50 and 324.20

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Solution

The fourth proportional to 471.82, 650.50 and 324.20 is: 446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.82 : 650.50 = 324.20 : x
  2. Step 2: Convert to fraction form
    471.82/650.50 = 324.20/x
  3. Step 3: Cross multiply
    471.82x = 650.50 × 324.20
  4. Step 4: Simplify right side
    471.82x = 210,892.10
  5. Step 5: Solve for x
    x = 210,892.10/471.82
  6. Step 6: Final answer
    x = 446.98

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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.