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Finding the Fourth Proportional to 395.68, 546.08 and 221.08

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Solution

The fourth proportional to 395.68, 546.08 and 221.08 is: 305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 546.08 = 221.08 : x
  2. Step 2: Convert to fraction form
    395.68/546.08 = 221.08/x
  3. Step 3: Cross multiply
    395.68x = 546.08 × 221.08
  4. Step 4: Simplify right side
    395.68x = 120,727.37
  5. Step 5: Solve for x
    x = 120,727.37/395.68
  6. Step 6: Final answer
    x = 305.11

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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.