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Finding the Fourth Proportional to 544.56, 816.36 and 361.38

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Solution

The fourth proportional to 544.56, 816.36 and 361.38 is: 541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.56 : 816.36 = 361.38 : x
  2. Step 2: Convert to fraction form
    544.56/816.36 = 361.38/x
  3. Step 3: Cross multiply
    544.56x = 816.36 × 361.38
  4. Step 4: Simplify right side
    544.56x = 295,016.18
  5. Step 5: Solve for x
    x = 295,016.18/544.56
  6. Step 6: Final answer
    x = 541.75

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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.