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Finding the Fourth Proportional to 817.82, 1,227.27 and 304.82

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Solution

The fourth proportional to 817.82, 1,227.27 and 304.82 is: 457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.82 : 1,227.27 = 304.82 : x
  2. Step 2: Convert to fraction form
    817.82/1,227.27 = 304.82/x
  3. Step 3: Cross multiply
    817.82x = 1,227.27 × 304.82
  4. Step 4: Simplify right side
    817.82x = 374,090.31
  5. Step 5: Solve for x
    x = 374,090.31/817.82
  6. Step 6: Final answer
    x = 457.43

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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.