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Finding the Fourth Proportional to 636.26, 954.60 and 271.40

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Solution

The fourth proportional to 636.26, 954.60 and 271.40 is: 407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.26 : 954.60 = 271.40 : x
  2. Step 2: Convert to fraction form
    636.26/954.60 = 271.40/x
  3. Step 3: Cross multiply
    636.26x = 954.60 × 271.40
  4. Step 4: Simplify right side
    636.26x = 259,078.44
  5. Step 5: Solve for x
    x = 259,078.44/636.26
  6. Step 6: Final answer
    x = 407.19

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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.