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Finding the Fourth Proportional to 547.80, 821.97 and 223.26

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Solution

The fourth proportional to 547.80, 821.97 and 223.26 is: 335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.80 : 821.97 = 223.26 : x
  2. Step 2: Convert to fraction form
    547.80/821.97 = 223.26/x
  3. Step 3: Cross multiply
    547.80x = 821.97 × 223.26
  4. Step 4: Simplify right side
    547.80x = 183,513.02
  5. Step 5: Solve for x
    x = 183,513.02/547.80
  6. Step 6: Final answer
    x = 335.00

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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.