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Finding the Fourth Proportional to 357.44, 493.09 and 224.82

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Solution

The fourth proportional to 357.44, 493.09 and 224.82 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.44 : 493.09 = 224.82 : x
  2. Step 2: Convert to fraction form
    357.44/493.09 = 224.82/x
  3. Step 3: Cross multiply
    357.44x = 493.09 × 224.82
  4. Step 4: Simplify right side
    357.44x = 110,858.62
  5. Step 5: Solve for x
    x = 110,858.62/357.44
  6. Step 6: Final answer
    x = 310.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.