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Finding the Fourth Proportional to 396.34, 546.78 and 280.06

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Solution

The fourth proportional to 396.34, 546.78 and 280.06 is: 386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.34 : 546.78 = 280.06 : x
  2. Step 2: Convert to fraction form
    396.34/546.78 = 280.06/x
  3. Step 3: Cross multiply
    396.34x = 546.78 × 280.06
  4. Step 4: Simplify right side
    396.34x = 153,131.21
  5. Step 5: Solve for x
    x = 153,131.21/396.34
  6. Step 6: Final answer
    x = 386.36

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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.