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Finding the Fourth Proportional to 636.60, 954.65 and 431.27

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Solution

The fourth proportional to 636.60, 954.65 and 431.27 is: 646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.60 : 954.65 = 431.27 : x
  2. Step 2: Convert to fraction form
    636.60/954.65 = 431.27/x
  3. Step 3: Cross multiply
    636.60x = 954.65 × 431.27
  4. Step 4: Simplify right side
    636.60x = 411,704.98
  5. Step 5: Solve for x
    x = 411,704.98/636.60
  6. Step 6: Final answer
    x = 646.72

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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.