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Finding the Fourth Proportional to 650.43, 974.01 and 406.23

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Solution

The fourth proportional to 650.43, 974.01 and 406.23 is: 608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.43 : 974.01 = 406.23 : x
  2. Step 2: Convert to fraction form
    650.43/974.01 = 406.23/x
  3. Step 3: Cross multiply
    650.43x = 974.01 × 406.23
  4. Step 4: Simplify right side
    650.43x = 395,672.08
  5. Step 5: Solve for x
    x = 395,672.08/650.43
  6. Step 6: Final answer
    x = 608.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.