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Finding the Fourth Proportional to 622.38, 933.03 and 416.37

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Solution

The fourth proportional to 622.38, 933.03 and 416.37 is: 624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.38 : 933.03 = 416.37 : x
  2. Step 2: Convert to fraction form
    622.38/933.03 = 416.37/x
  3. Step 3: Cross multiply
    622.38x = 933.03 × 416.37
  4. Step 4: Simplify right side
    622.38x = 388,485.70
  5. Step 5: Solve for x
    x = 388,485.70/622.38
  6. Step 6: Final answer
    x = 624.19

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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.