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Finding the Fourth Proportional to 441.38, 657.40 and 418.25

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Solution

The fourth proportional to 441.38, 657.40 and 418.25 is: 622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.38 : 657.40 = 418.25 : x
  2. Step 2: Convert to fraction form
    441.38/657.40 = 418.25/x
  3. Step 3: Cross multiply
    441.38x = 657.40 × 418.25
  4. Step 4: Simplify right side
    441.38x = 274,954.26
  5. Step 5: Solve for x
    x = 274,954.26/441.38
  6. Step 6: Final answer
    x = 622.95

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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.