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Finding the Fourth Proportional to 364.38, 546.78 and 218.18

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Solution

The fourth proportional to 364.38, 546.78 and 218.18 is: 327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.38 : 546.78 = 218.18 : x
  2. Step 2: Convert to fraction form
    364.38/546.78 = 218.18/x
  3. Step 3: Cross multiply
    364.38x = 546.78 × 218.18
  4. Step 4: Simplify right side
    364.38x = 119,293.73
  5. Step 5: Solve for x
    x = 119,293.73/364.38
  6. Step 6: Final answer
    x = 327.39

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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.