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Finding the Fourth Proportional to 397.22, 548.86 and 298.06

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Solution

The fourth proportional to 397.22, 548.86 and 298.06 is: 411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.22 : 548.86 = 298.06 : x
  2. Step 2: Convert to fraction form
    397.22/548.86 = 298.06/x
  3. Step 3: Cross multiply
    397.22x = 548.86 × 298.06
  4. Step 4: Simplify right side
    397.22x = 163,593.21
  5. Step 5: Solve for x
    x = 163,593.21/397.22
  6. Step 6: Final answer
    x = 411.85

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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.