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Finding the Fourth Proportional to 550.02, 825.27 and 275.97

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Solution

The fourth proportional to 550.02, 825.27 and 275.97 is: 414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.02 : 825.27 = 275.97 : x
  2. Step 2: Convert to fraction form
    550.02/825.27 = 275.97/x
  3. Step 3: Cross multiply
    550.02x = 825.27 × 275.97
  4. Step 4: Simplify right side
    550.02x = 227,753.37
  5. Step 5: Solve for x
    x = 227,753.37/550.02
  6. Step 6: Final answer
    x = 414.08

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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.