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Finding the Fourth Proportional to 547.67, 821.49 and 222.83

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Solution

The fourth proportional to 547.67, 821.49 and 222.83 is: 334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.67 : 821.49 = 222.83 : x
  2. Step 2: Convert to fraction form
    547.67/821.49 = 222.83/x
  3. Step 3: Cross multiply
    547.67x = 821.49 × 222.83
  4. Step 4: Simplify right side
    547.67x = 183,048.51
  5. Step 5: Solve for x
    x = 183,048.51/547.67
  6. Step 6: Final answer
    x = 334.23

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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.