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Finding the Fourth Proportional to 548.24, 821.64 and 274.40

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Solution

The fourth proportional to 548.24, 821.64 and 274.40 is: 411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 821.64 = 274.40 : x
  2. Step 2: Convert to fraction form
    548.24/821.64 = 274.40/x
  3. Step 3: Cross multiply
    548.24x = 821.64 × 274.40
  4. Step 4: Simplify right side
    548.24x = 225,458.02
  5. Step 5: Solve for x
    x = 225,458.02/548.24
  6. Step 6: Final answer
    x = 411.24

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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.