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Finding the Fourth Proportional to 414.53, 620.93 and 350.18

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Solution

The fourth proportional to 414.53, 620.93 and 350.18 is: 524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.53 : 620.93 = 350.18 : x
  2. Step 2: Convert to fraction form
    414.53/620.93 = 350.18/x
  3. Step 3: Cross multiply
    414.53x = 620.93 × 350.18
  4. Step 4: Simplify right side
    414.53x = 217,432.41
  5. Step 5: Solve for x
    x = 217,432.41/414.53
  6. Step 6: Final answer
    x = 524.53

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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.