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Finding the Fourth Proportional to 636.74, 954.26 and 271.07

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Solution

The fourth proportional to 636.74, 954.26 and 271.07 is: 406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.74 : 954.26 = 271.07 : x
  2. Step 2: Convert to fraction form
    636.74/954.26 = 271.07/x
  3. Step 3: Cross multiply
    636.74x = 954.26 × 271.07
  4. Step 4: Simplify right side
    636.74x = 258,671.26
  5. Step 5: Solve for x
    x = 258,671.26/636.74
  6. Step 6: Final answer
    x = 406.24

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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.