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Finding the Fourth Proportional to 547.82, 821.74 and 223.20

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Solution

The fourth proportional to 547.82, 821.74 and 223.20 is: 334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 821.74 = 223.20 : x
  2. Step 2: Convert to fraction form
    547.82/821.74 = 223.20/x
  3. Step 3: Cross multiply
    547.82x = 821.74 × 223.20
  4. Step 4: Simplify right side
    547.82x = 183,412.37
  5. Step 5: Solve for x
    x = 183,412.37/547.82
  6. Step 6: Final answer
    x = 334.80

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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.