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Finding the Fourth Proportional to 276.21, 413.71 and 204.53

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Solution

The fourth proportional to 276.21, 413.71 and 204.53 is: 306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.21 : 413.71 = 204.53 : x
  2. Step 2: Convert to fraction form
    276.21/413.71 = 204.53/x
  3. Step 3: Cross multiply
    276.21x = 413.71 × 204.53
  4. Step 4: Simplify right side
    276.21x = 84,613.53
  5. Step 5: Solve for x
    x = 84,613.53/276.21
  6. Step 6: Final answer
    x = 306.34

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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.