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Finding the Fourth Proportional to 276.24, 413.97 and 237.03

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Solution

The fourth proportional to 276.24, 413.97 and 237.03 is: 355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 413.97 = 237.03 : x
  2. Step 2: Convert to fraction form
    276.24/413.97 = 237.03/x
  3. Step 3: Cross multiply
    276.24x = 413.97 × 237.03
  4. Step 4: Simplify right side
    276.24x = 98,123.31
  5. Step 5: Solve for x
    x = 98,123.31/276.24
  6. Step 6: Final answer
    x = 355.21

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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.