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Finding the Fourth Proportional to 396.37, 546.78 and 302.95

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Solution

The fourth proportional to 396.37, 546.78 and 302.95 is: 417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.37 : 546.78 = 302.95 : x
  2. Step 2: Convert to fraction form
    396.37/546.78 = 302.95/x
  3. Step 3: Cross multiply
    396.37x = 546.78 × 302.95
  4. Step 4: Simplify right side
    396.37x = 165,647.00
  5. Step 5: Solve for x
    x = 165,647.00/396.37
  6. Step 6: Final answer
    x = 417.91

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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.