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Finding the Fourth Proportional to 397.61, 548.71 and 220.59

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Solution

The fourth proportional to 397.61, 548.71 and 220.59 is: 304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.61 : 548.71 = 220.59 : x
  2. Step 2: Convert to fraction form
    397.61/548.71 = 220.59/x
  3. Step 3: Cross multiply
    397.61x = 548.71 × 220.59
  4. Step 4: Simplify right side
    397.61x = 121,039.39
  5. Step 5: Solve for x
    x = 121,039.39/397.61
  6. Step 6: Final answer
    x = 304.42

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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.