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Finding the Fourth Proportional to 817.99, 1,227.30 and 270.16

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Solution

The fourth proportional to 817.99, 1,227.30 and 270.16 is: 405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.99 : 1,227.30 = 270.16 : x
  2. Step 2: Convert to fraction form
    817.99/1,227.30 = 270.16/x
  3. Step 3: Cross multiply
    817.99x = 1,227.30 × 270.16
  4. Step 4: Simplify right side
    817.99x = 331,567.37
  5. Step 5: Solve for x
    x = 331,567.37/817.99
  6. Step 6: Final answer
    x = 405.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.