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Finding the Fourth Proportional to 276, 413.04 and 260.22

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Solution

The fourth proportional to 276, 413.04 and 260.22 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276 : 413.04 = 260.22 : x
  2. Step 2: Convert to fraction form
    276/413.04 = 260.22/x
  3. Step 3: Cross multiply
    276x = 413.04 × 260.22
  4. Step 4: Simplify right side
    276x = 107,481.27
  5. Step 5: Solve for x
    x = 107,481.27/276
  6. Step 6: Final answer
    x = 389.42

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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.