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Finding the Fourth Proportional to 414.38, 620.06 and 345.74

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Solution

The fourth proportional to 414.38, 620.06 and 345.74 is: 517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.38 : 620.06 = 345.74 : x
  2. Step 2: Convert to fraction form
    414.38/620.06 = 345.74/x
  3. Step 3: Cross multiply
    414.38x = 620.06 × 345.74
  4. Step 4: Simplify right side
    414.38x = 214,374.72
  5. Step 5: Solve for x
    x = 214,374.72/414.38
  6. Step 6: Final answer
    x = 517.34

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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.