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Finding the Fourth Proportional to 548.54, 821.89 and 239.93

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Solution

The fourth proportional to 548.54, 821.89 and 239.93 is: 359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.54 : 821.89 = 239.93 : x
  2. Step 2: Convert to fraction form
    548.54/821.89 = 239.93/x
  3. Step 3: Cross multiply
    548.54x = 821.89 × 239.93
  4. Step 4: Simplify right side
    548.54x = 197,196.07
  5. Step 5: Solve for x
    x = 197,196.07/548.54
  6. Step 6: Final answer
    x = 359.49

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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.