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Finding the Fourth Proportional to 300.56, 413.90 and 217.53

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Solution

The fourth proportional to 300.56, 413.90 and 217.53 is: 299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 413.90 = 217.53 : x
  2. Step 2: Convert to fraction form
    300.56/413.90 = 217.53/x
  3. Step 3: Cross multiply
    300.56x = 413.90 × 217.53
  4. Step 4: Simplify right side
    300.56x = 90,034.58
  5. Step 5: Solve for x
    x = 90,034.58/300.56
  6. Step 6: Final answer
    x = 299.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.