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Finding the Fourth Proportional to 422.47, 633.72 and 179.05

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Solution

The fourth proportional to 422.47, 633.72 and 179.05 is: 268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.47 : 633.72 = 179.05 : x
  2. Step 2: Convert to fraction form
    422.47/633.72 = 179.05/x
  3. Step 3: Cross multiply
    422.47x = 633.72 × 179.05
  4. Step 4: Simplify right side
    422.47x = 113,467.57
  5. Step 5: Solve for x
    x = 113,467.57/422.47
  6. Step 6: Final answer
    x = 268.58

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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.