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Finding the Fourth Proportional to 809.64, 1,214.33 and 262.22

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Solution

The fourth proportional to 809.64, 1,214.33 and 262.22 is: 393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.64 : 1,214.33 = 262.22 : x
  2. Step 2: Convert to fraction form
    809.64/1,214.33 = 262.22/x
  3. Step 3: Cross multiply
    809.64x = 1,214.33 × 262.22
  4. Step 4: Simplify right side
    809.64x = 318,414.23
  5. Step 5: Solve for x
    x = 318,414.23/809.64
  6. Step 6: Final answer
    x = 393.28

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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.