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Finding the Fourth Proportional to 471.93, 650.50 and 352.09

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Solution

The fourth proportional to 471.93, 650.50 and 352.09 is: 485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.93 : 650.50 = 352.09 : x
  2. Step 2: Convert to fraction form
    471.93/650.50 = 352.09/x
  3. Step 3: Cross multiply
    471.93x = 650.50 × 352.09
  4. Step 4: Simplify right side
    471.93x = 229,034.55
  5. Step 5: Solve for x
    x = 229,034.55/471.93
  6. Step 6: Final answer
    x = 485.31

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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.