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Finding the Fourth Proportional to 544.39, 816.01 and 395.78

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Solution

The fourth proportional to 544.39, 816.01 and 395.78 is: 593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.39 : 816.01 = 395.78 : x
  2. Step 2: Convert to fraction form
    544.39/816.01 = 395.78/x
  3. Step 3: Cross multiply
    544.39x = 816.01 × 395.78
  4. Step 4: Simplify right side
    544.39x = 322,961.49
  5. Step 5: Solve for x
    x = 322,961.49/544.39
  6. Step 6: Final answer
    x = 593.26

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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.