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Finding the Fourth Proportional to 548.44, 822.14 and 304.62

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Solution

The fourth proportional to 548.44, 822.14 and 304.62 is: 456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.44 : 822.14 = 304.62 : x
  2. Step 2: Convert to fraction form
    548.44/822.14 = 304.62/x
  3. Step 3: Cross multiply
    548.44x = 822.14 × 304.62
  4. Step 4: Simplify right side
    548.44x = 250,440.29
  5. Step 5: Solve for x
    x = 250,440.29/548.44
  6. Step 6: Final answer
    x = 456.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.