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Finding the Fourth Proportional to 547.34, 821.33 and 218.22

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Solution

The fourth proportional to 547.34, 821.33 and 218.22 is: 327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.34 : 821.33 = 218.22 : x
  2. Step 2: Convert to fraction form
    547.34/821.33 = 218.22/x
  3. Step 3: Cross multiply
    547.34x = 821.33 × 218.22
  4. Step 4: Simplify right side
    547.34x = 179,226.53
  5. Step 5: Solve for x
    x = 179,226.53/547.34
  6. Step 6: Final answer
    x = 327.45

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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.