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Finding the Fourth Proportional to 547.08, 819.84 and 273.06

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Solution

The fourth proportional to 547.08, 819.84 and 273.06 is: 409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.08 : 819.84 = 273.06 : x
  2. Step 2: Convert to fraction form
    547.08/819.84 = 273.06/x
  3. Step 3: Cross multiply
    547.08x = 819.84 × 273.06
  4. Step 4: Simplify right side
    547.08x = 223,865.51
  5. Step 5: Solve for x
    x = 223,865.51/547.08
  6. Step 6: Final answer
    x = 409.20

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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.