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Finding the Fourth Proportional to 397.56, 548.88 and 299.76

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Solution

The fourth proportional to 397.56, 548.88 and 299.76 is: 413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 548.88 = 299.76 : x
  2. Step 2: Convert to fraction form
    397.56/548.88 = 299.76/x
  3. Step 3: Cross multiply
    397.56x = 548.88 × 299.76
  4. Step 4: Simplify right side
    397.56x = 164,532.27
  5. Step 5: Solve for x
    x = 164,532.27/397.56
  6. Step 6: Final answer
    x = 413.86

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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.