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Finding the Fourth Proportional to 418.71, 623.37 and 416.68

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Solution

The fourth proportional to 418.71, 623.37 and 416.68 is: 620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.71 : 623.37 = 416.68 : x
  2. Step 2: Convert to fraction form
    418.71/623.37 = 416.68/x
  3. Step 3: Cross multiply
    418.71x = 623.37 × 416.68
  4. Step 4: Simplify right side
    418.71x = 259,745.81
  5. Step 5: Solve for x
    x = 259,745.81/418.71
  6. Step 6: Final answer
    x = 620.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.