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Finding the Fourth Proportional to 264.73, 397.12 and 69.73

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Solution

The fourth proportional to 264.73, 397.12 and 69.73 is: 104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.73 : 397.12 = 69.73 : x
  2. Step 2: Convert to fraction form
    264.73/397.12 = 69.73/x
  3. Step 3: Cross multiply
    264.73x = 397.12 × 69.73
  4. Step 4: Simplify right side
    264.73x = 27,691.18
  5. Step 5: Solve for x
    x = 27,691.18/264.73
  6. Step 6: Final answer
    x = 104.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.