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Finding the Fourth Proportional to 622.99, 933.81 and 427.96

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Solution

The fourth proportional to 622.99, 933.81 and 427.96 is: 641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.99 : 933.81 = 427.96 : x
  2. Step 2: Convert to fraction form
    622.99/933.81 = 427.96/x
  3. Step 3: Cross multiply
    622.99x = 933.81 × 427.96
  4. Step 4: Simplify right side
    622.99x = 399,633.33
  5. Step 5: Solve for x
    x = 399,633.33/622.99
  6. Step 6: Final answer
    x = 641.48

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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.