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Finding the Fourth Proportional to 548.93, 822.75 and 305.66

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Solution

The fourth proportional to 548.93, 822.75 and 305.66 is: 458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.93 : 822.75 = 305.66 : x
  2. Step 2: Convert to fraction form
    548.93/822.75 = 305.66/x
  3. Step 3: Cross multiply
    548.93x = 822.75 × 305.66
  4. Step 4: Simplify right side
    548.93x = 251,481.77
  5. Step 5: Solve for x
    x = 251,481.77/548.93
  6. Step 6: Final answer
    x = 458.13

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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.