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Finding the Fourth Proportional to 622.02, 933.23 and 406.02

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Solution

The fourth proportional to 622.02, 933.23 and 406.02 is: 609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.02 : 933.23 = 406.02 : x
  2. Step 2: Convert to fraction form
    622.02/933.23 = 406.02/x
  3. Step 3: Cross multiply
    622.02x = 933.23 × 406.02
  4. Step 4: Simplify right side
    622.02x = 378,910.04
  5. Step 5: Solve for x
    x = 378,910.04/622.02
  6. Step 6: Final answer
    x = 609.16

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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.