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Finding the Fourth Proportional to 544.49, 816.26 and 270.71

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Solution

The fourth proportional to 544.49, 816.26 and 270.71 is: 405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.49 : 816.26 = 270.71 : x
  2. Step 2: Convert to fraction form
    544.49/816.26 = 270.71/x
  3. Step 3: Cross multiply
    544.49x = 816.26 × 270.71
  4. Step 4: Simplify right side
    544.49x = 220,964.31
  5. Step 5: Solve for x
    x = 220,964.31/544.49
  6. Step 6: Final answer
    x = 405.82

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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.