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Finding the Fourth Proportional to 278.39, 417.60 and 218.45

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Solution

The fourth proportional to 278.39, 417.60 and 218.45 is: 327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.39 : 417.60 = 218.45 : x
  2. Step 2: Convert to fraction form
    278.39/417.60 = 218.45/x
  3. Step 3: Cross multiply
    278.39x = 417.60 × 218.45
  4. Step 4: Simplify right side
    278.39x = 91,224.72
  5. Step 5: Solve for x
    x = 91,224.72/278.39
  6. Step 6: Final answer
    x = 327.69

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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.