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Finding the Fourth Proportional to 636.25, 954.19 and 271.03

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Solution

The fourth proportional to 636.25, 954.19 and 271.03 is: 406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.25 : 954.19 = 271.03 : x
  2. Step 2: Convert to fraction form
    636.25/954.19 = 271.03/x
  3. Step 3: Cross multiply
    636.25x = 954.19 × 271.03
  4. Step 4: Simplify right side
    636.25x = 258,614.12
  5. Step 5: Solve for x
    x = 258,614.12/636.25
  6. Step 6: Final answer
    x = 406.47

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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.