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Finding the Fourth Proportional to 548.06, 822.99 and 305.06

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Solution

The fourth proportional to 548.06, 822.99 and 305.06 is: 458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.06 : 822.99 = 305.06 : x
  2. Step 2: Convert to fraction form
    548.06/822.99 = 305.06/x
  3. Step 3: Cross multiply
    548.06x = 822.99 × 305.06
  4. Step 4: Simplify right side
    548.06x = 251,061.33
  5. Step 5: Solve for x
    x = 251,061.33/548.06
  6. Step 6: Final answer
    x = 458.09

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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.