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Finding the Fourth Proportional to 547.11, 821.19 and 342.09

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Solution

The fourth proportional to 547.11, 821.19 and 342.09 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.11 : 821.19 = 342.09 : x
  2. Step 2: Convert to fraction form
    547.11/821.19 = 342.09/x
  3. Step 3: Cross multiply
    547.11x = 821.19 × 342.09
  4. Step 4: Simplify right side
    547.11x = 280,920.89
  5. Step 5: Solve for x
    x = 280,920.89/547.11
  6. Step 6: Final answer
    x = 513.46

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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.