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Finding the Fourth Proportional to 450.94, 672.96 and 402.34

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Solution

The fourth proportional to 450.94, 672.96 and 402.34 is: 600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.94 : 672.96 = 402.34 : x
  2. Step 2: Convert to fraction form
    450.94/672.96 = 402.34/x
  3. Step 3: Cross multiply
    450.94x = 672.96 × 402.34
  4. Step 4: Simplify right side
    450.94x = 270,758.73
  5. Step 5: Solve for x
    x = 270,758.73/450.94
  6. Step 6: Final answer
    x = 600.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.