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Finding the Fourth Proportional to 636.34, 954.51 and 197.59

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Solution

The fourth proportional to 636.34, 954.51 and 197.59 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.34 : 954.51 = 197.59 : x
  2. Step 2: Convert to fraction form
    636.34/954.51 = 197.59/x
  3. Step 3: Cross multiply
    636.34x = 954.51 × 197.59
  4. Step 4: Simplify right side
    636.34x = 188,601.63
  5. Step 5: Solve for x
    x = 188,601.63/636.34
  6. Step 6: Final answer
    x = 296.39

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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.