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Finding the Fourth Proportional to 350.28, 522.45 and 343.80

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Solution

The fourth proportional to 350.28, 522.45 and 343.80 is: 512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.28 : 522.45 = 343.80 : x
  2. Step 2: Convert to fraction form
    350.28/522.45 = 343.80/x
  3. Step 3: Cross multiply
    350.28x = 522.45 × 343.80
  4. Step 4: Simplify right side
    350.28x = 179,618.31
  5. Step 5: Solve for x
    x = 179,618.31/350.28
  6. Step 6: Final answer
    x = 512.78

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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.