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Finding the Fourth Proportional to 414.13, 620.87 and 218.87

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Solution

The fourth proportional to 414.13, 620.87 and 218.87 is: 328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.13 : 620.87 = 218.87 : x
  2. Step 2: Convert to fraction form
    414.13/620.87 = 218.87/x
  3. Step 3: Cross multiply
    414.13x = 620.87 × 218.87
  4. Step 4: Simplify right side
    414.13x = 135,888.72
  5. Step 5: Solve for x
    x = 135,888.72/414.13
  6. Step 6: Final answer
    x = 328.13

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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.