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Finding the Fourth Proportional to 622.26, 933.39 and 406.26

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Solution

The fourth proportional to 622.26, 933.39 and 406.26 is: 609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 933.39 = 406.26 : x
  2. Step 2: Convert to fraction form
    622.26/933.39 = 406.26/x
  3. Step 3: Cross multiply
    622.26x = 933.39 × 406.26
  4. Step 4: Simplify right side
    622.26x = 379,199.02
  5. Step 5: Solve for x
    x = 379,199.02/622.26
  6. Step 6: Final answer
    x = 609.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.