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Finding the Fourth Proportional to 350.22, 523.10 and 295.54

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Solution

The fourth proportional to 350.22, 523.10 and 295.54 is: 441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.22 : 523.10 = 295.54 : x
  2. Step 2: Convert to fraction form
    350.22/523.10 = 295.54/x
  3. Step 3: Cross multiply
    350.22x = 523.10 × 295.54
  4. Step 4: Simplify right side
    350.22x = 154,596.97
  5. Step 5: Solve for x
    x = 154,596.97/350.22
  6. Step 6: Final answer
    x = 441.43

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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.