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Finding the Fourth Proportional to 396.33, 546.24 and 297.93

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Solution

The fourth proportional to 396.33, 546.24 and 297.93 is: 410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.33 : 546.24 = 297.93 : x
  2. Step 2: Convert to fraction form
    396.33/546.24 = 297.93/x
  3. Step 3: Cross multiply
    396.33x = 546.24 × 297.93
  4. Step 4: Simplify right side
    396.33x = 162,741.28
  5. Step 5: Solve for x
    x = 162,741.28/396.33
  6. Step 6: Final answer
    x = 410.62

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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.