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Finding the Fourth Proportional to 397.26, 548.16 and 298.80

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Solution

The fourth proportional to 397.26, 548.16 and 298.80 is: 412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.26 : 548.16 = 298.80 : x
  2. Step 2: Convert to fraction form
    397.26/548.16 = 298.80/x
  3. Step 3: Cross multiply
    397.26x = 548.16 × 298.80
  4. Step 4: Simplify right side
    397.26x = 163,790.21
  5. Step 5: Solve for x
    x = 163,790.21/397.26
  6. Step 6: Final answer
    x = 412.30

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