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Finding the Fourth Proportional to 396.93, 548.13 and 298.52

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Solution

The fourth proportional to 396.93, 548.13 and 298.52 is: 412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.93 : 548.13 = 298.52 : x
  2. Step 2: Convert to fraction form
    396.93/548.13 = 298.52/x
  3. Step 3: Cross multiply
    396.93x = 548.13 × 298.52
  4. Step 4: Simplify right side
    396.93x = 163,627.77
  5. Step 5: Solve for x
    x = 163,627.77/396.93
  6. Step 6: Final answer
    x = 412.23

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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.