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Finding the Fourth Proportional to 397.69, 548.27 and 298.25

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Solution

The fourth proportional to 397.69, 548.27 and 298.25 is: 411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.69 : 548.27 = 298.25 : x
  2. Step 2: Convert to fraction form
    397.69/548.27 = 298.25/x
  3. Step 3: Cross multiply
    397.69x = 548.27 × 298.25
  4. Step 4: Simplify right side
    397.69x = 163,520.04
  5. Step 5: Solve for x
    x = 163,520.04/397.69
  6. Step 6: Final answer
    x = 411.18

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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.