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Finding the Fourth Proportional to 547.97, 822.41 and 259.41

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Solution

The fourth proportional to 547.97, 822.41 and 259.41 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.97 : 822.41 = 259.41 : x
  2. Step 2: Convert to fraction form
    547.97/822.41 = 259.41/x
  3. Step 3: Cross multiply
    547.97x = 822.41 × 259.41
  4. Step 4: Simplify right side
    547.97x = 213,340.08
  5. Step 5: Solve for x
    x = 213,340.08/547.97
  6. Step 6: Final answer
    x = 389.33

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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.