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Finding the Fourth Proportional to 544.73, 816.02 and 269.99

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Solution

The fourth proportional to 544.73, 816.02 and 269.99 is: 404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.73 : 816.02 = 269.99 : x
  2. Step 2: Convert to fraction form
    544.73/816.02 = 269.99/x
  3. Step 3: Cross multiply
    544.73x = 816.02 × 269.99
  4. Step 4: Simplify right side
    544.73x = 220,313.83
  5. Step 5: Solve for x
    x = 220,313.83/544.73
  6. Step 6: Final answer
    x = 404.44

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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.