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Finding the Fourth Proportional to 277.01, 413.06 and 238.73

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Solution

The fourth proportional to 277.01, 413.06 and 238.73 is: 355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.01 : 413.06 = 238.73 : x
  2. Step 2: Convert to fraction form
    277.01/413.06 = 238.73/x
  3. Step 3: Cross multiply
    277.01x = 413.06 × 238.73
  4. Step 4: Simplify right side
    277.01x = 98,606.55
  5. Step 5: Solve for x
    x = 98,606.55/277.01
  6. Step 6: Final answer
    x = 355.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.