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Finding the Fourth Proportional to 636.28, 954.72 and 311.63

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Solution

The fourth proportional to 636.28, 954.72 and 311.63 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.28 : 954.72 = 311.63 : x
  2. Step 2: Convert to fraction form
    636.28/954.72 = 311.63/x
  3. Step 3: Cross multiply
    636.28x = 954.72 × 311.63
  4. Step 4: Simplify right side
    636.28x = 297,514.62
  5. Step 5: Solve for x
    x = 297,514.62/636.28
  6. Step 6: Final answer
    x = 467.59

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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.