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Finding the Fourth Proportional to 548.92, 822.63 and 301.53

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Solution

The fourth proportional to 548.92, 822.63 and 301.53 is: 451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.92 : 822.63 = 301.53 : x
  2. Step 2: Convert to fraction form
    548.92/822.63 = 301.53/x
  3. Step 3: Cross multiply
    548.92x = 822.63 × 301.53
  4. Step 4: Simplify right side
    548.92x = 248,047.62
  5. Step 5: Solve for x
    x = 248,047.62/548.92
  6. Step 6: Final answer
    x = 451.88

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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.