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Finding the Fourth Proportional to 422.34, 632.94 and 191.30

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Solution

The fourth proportional to 422.34, 632.94 and 191.30 is: 286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.34 : 632.94 = 191.30 : x
  2. Step 2: Convert to fraction form
    422.34/632.94 = 191.30/x
  3. Step 3: Cross multiply
    422.34x = 632.94 × 191.30
  4. Step 4: Simplify right side
    422.34x = 121,081.42
  5. Step 5: Solve for x
    x = 121,081.42/422.34
  6. Step 6: Final answer
    x = 286.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.