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Finding the Fourth Proportional to 421.92, 636.81 and 421.92

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Solution

The fourth proportional to 421.92, 636.81 and 421.92 is: 636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 636.81 = 421.92 : x
  2. Step 2: Convert to fraction form
    421.92/636.81 = 421.92/x
  3. Step 3: Cross multiply
    421.92x = 636.81 × 421.92
  4. Step 4: Simplify right side
    421.92x = 268,682.88
  5. Step 5: Solve for x
    x = 268,682.88/421.92
  6. Step 6: Final answer
    x = 636.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.