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Finding the Fourth Proportional to 547.51, 821.33 and 222.83

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Solution

The fourth proportional to 547.51, 821.33 and 222.83 is: 334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.51 : 821.33 = 222.83 : x
  2. Step 2: Convert to fraction form
    547.51/821.33 = 222.83/x
  3. Step 3: Cross multiply
    547.51x = 821.33 × 222.83
  4. Step 4: Simplify right side
    547.51x = 183,016.96
  5. Step 5: Solve for x
    x = 183,016.96/547.51
  6. Step 6: Final answer
    x = 334.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.