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Finding the Fourth Proportional to 395.84, 546.21 and 221.15

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Solution

The fourth proportional to 395.84, 546.21 and 221.15 is: 305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 546.21 = 221.15 : x
  2. Step 2: Convert to fraction form
    395.84/546.21 = 221.15/x
  3. Step 3: Cross multiply
    395.84x = 546.21 × 221.15
  4. Step 4: Simplify right side
    395.84x = 120,791.61
  5. Step 5: Solve for x
    x = 120,791.61/395.84
  6. Step 6: Final answer
    x = 305.16

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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.