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Finding the Fourth Proportional to 547.87, 821.32 and 206.11

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Solution

The fourth proportional to 547.87, 821.32 and 206.11 is: 308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.87 : 821.32 = 206.11 : x
  2. Step 2: Convert to fraction form
    547.87/821.32 = 206.11/x
  3. Step 3: Cross multiply
    547.87x = 821.32 × 206.11
  4. Step 4: Simplify right side
    547.87x = 169,277.64
  5. Step 5: Solve for x
    x = 169,277.64/547.87
  6. Step 6: Final answer
    x = 308.98

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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.