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Finding the Fourth Proportional to 636.60, 954.88 and 271.12

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Solution

The fourth proportional to 636.60, 954.88 and 271.12 is: 406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.60 : 954.88 = 271.12 : x
  2. Step 2: Convert to fraction form
    636.60/954.88 = 271.12/x
  3. Step 3: Cross multiply
    636.60x = 954.88 × 271.12
  4. Step 4: Simplify right side
    636.60x = 258,887.07
  5. Step 5: Solve for x
    x = 258,887.07/636.60
  6. Step 6: Final answer
    x = 406.67

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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.