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Finding the Fourth Proportional to 396.52, 547.14 and 280.24

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Solution

The fourth proportional to 396.52, 547.14 and 280.24 is: 386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.52 : 547.14 = 280.24 : x
  2. Step 2: Convert to fraction form
    396.52/547.14 = 280.24/x
  3. Step 3: Cross multiply
    396.52x = 547.14 × 280.24
  4. Step 4: Simplify right side
    396.52x = 153,330.51
  5. Step 5: Solve for x
    x = 153,330.51/396.52
  6. Step 6: Final answer
    x = 386.69

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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.