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Finding the Fourth Proportional to 354.11, 488.75 and 221.33

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Solution

The fourth proportional to 354.11, 488.75 and 221.33 is: 305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.11 : 488.75 = 221.33 : x
  2. Step 2: Convert to fraction form
    354.11/488.75 = 221.33/x
  3. Step 3: Cross multiply
    354.11x = 488.75 × 221.33
  4. Step 4: Simplify right side
    354.11x = 108,175.15
  5. Step 5: Solve for x
    x = 108,175.15/354.11
  6. Step 6: Final answer
    x = 305.49

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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.