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Finding the Fourth Proportional to 547.61, 821.43 and 182.43

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Solution

The fourth proportional to 547.61, 821.43 and 182.43 is: 273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.61 : 821.43 = 182.43 : x
  2. Step 2: Convert to fraction form
    547.61/821.43 = 182.43/x
  3. Step 3: Cross multiply
    547.61x = 821.43 × 182.43
  4. Step 4: Simplify right side
    547.61x = 149,849.71
  5. Step 5: Solve for x
    x = 149,849.71/547.61
  6. Step 6: Final answer
    x = 273.64

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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.