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Finding the Fourth Proportional to 548.78, 823.20 and 330.89

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Solution

The fourth proportional to 548.78, 823.20 and 330.89 is: 496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.78 : 823.20 = 330.89 : x
  2. Step 2: Convert to fraction form
    548.78/823.20 = 330.89/x
  3. Step 3: Cross multiply
    548.78x = 823.20 × 330.89
  4. Step 4: Simplify right side
    548.78x = 272,383.29
  5. Step 5: Solve for x
    x = 272,383.29/548.78
  6. Step 6: Final answer
    x = 496.35

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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.