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Finding the Fourth Proportional to 422.65, 633.48 and 179.05

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Solution

The fourth proportional to 422.65, 633.48 and 179.05 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.65 : 633.48 = 179.05 : x
  2. Step 2: Convert to fraction form
    422.65/633.48 = 179.05/x
  3. Step 3: Cross multiply
    422.65x = 633.48 × 179.05
  4. Step 4: Simplify right side
    422.65x = 113,424.59
  5. Step 5: Solve for x
    x = 113,424.59/422.65
  6. Step 6: Final answer
    x = 268.37

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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.