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Finding the Fourth Proportional to 422.74, 633.57 and 240.09

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Solution

The fourth proportional to 422.74, 633.57 and 240.09 is: 359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.74 : 633.57 = 240.09 : x
  2. Step 2: Convert to fraction form
    422.74/633.57 = 240.09/x
  3. Step 3: Cross multiply
    422.74x = 633.57 × 240.09
  4. Step 4: Simplify right side
    422.74x = 152,113.82
  5. Step 5: Solve for x
    x = 152,113.82/422.74
  6. Step 6: Final answer
    x = 359.83

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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.