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Finding the Fourth Proportional to 547.78, 821.86 and 223.42

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Solution

The fourth proportional to 547.78, 821.86 and 223.42 is: 335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.78 : 821.86 = 223.42 : x
  2. Step 2: Convert to fraction form
    547.78/821.86 = 223.42/x
  3. Step 3: Cross multiply
    547.78x = 821.86 × 223.42
  4. Step 4: Simplify right side
    547.78x = 183,619.96
  5. Step 5: Solve for x
    x = 183,619.96/547.78
  6. Step 6: Final answer
    x = 335.21

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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.