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Finding the Fourth Proportional to 535.22, 806.96 and 428.30

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Solution

The fourth proportional to 535.22, 806.96 and 428.30 is: 645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.22 : 806.96 = 428.30 : x
  2. Step 2: Convert to fraction form
    535.22/806.96 = 428.30/x
  3. Step 3: Cross multiply
    535.22x = 806.96 × 428.30
  4. Step 4: Simplify right side
    535.22x = 345,621.03
  5. Step 5: Solve for x
    x = 345,621.03/535.22
  6. Step 6: Final answer
    x = 645.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.