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Finding the Fourth Proportional to 738.38, 1,107.34 and 218.25

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Solution

The fourth proportional to 738.38, 1,107.34 and 218.25 is: 327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.38 : 1,107.34 = 218.25 : x
  2. Step 2: Convert to fraction form
    738.38/1,107.34 = 218.25/x
  3. Step 3: Cross multiply
    738.38x = 1,107.34 × 218.25
  4. Step 4: Simplify right side
    738.38x = 241,676.41
  5. Step 5: Solve for x
    x = 241,676.41/738.38
  6. Step 6: Final answer
    x = 327.31

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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.