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Finding the Fourth Proportional to 471.10, 650.19 and 450.33

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Solution

The fourth proportional to 471.10, 650.19 and 450.33 is: 621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.10 : 650.19 = 450.33 : x
  2. Step 2: Convert to fraction form
    471.10/650.19 = 450.33/x
  3. Step 3: Cross multiply
    471.10x = 650.19 × 450.33
  4. Step 4: Simplify right side
    471.10x = 292,798.94
  5. Step 5: Solve for x
    x = 292,798.94/471.10
  6. Step 6: Final answer
    x = 621.53

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