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Finding the Fourth Proportional to 396.96, 547.50 and 264.24

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Solution

The fourth proportional to 396.96, 547.50 and 264.24 is: 364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.96 : 547.50 = 264.24 : x
  2. Step 2: Convert to fraction form
    396.96/547.50 = 264.24/x
  3. Step 3: Cross multiply
    396.96x = 547.50 × 264.24
  4. Step 4: Simplify right side
    396.96x = 144,671.40
  5. Step 5: Solve for x
    x = 144,671.40/396.96
  6. Step 6: Final answer
    x = 364.45

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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.