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Finding the Fourth Proportional to 622.05, 933.23 and 189.21

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Solution

The fourth proportional to 622.05, 933.23 and 189.21 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.05 : 933.23 = 189.21 : x
  2. Step 2: Convert to fraction form
    622.05/933.23 = 189.21/x
  3. Step 3: Cross multiply
    622.05x = 933.23 × 189.21
  4. Step 4: Simplify right side
    622.05x = 176,578.06
  5. Step 5: Solve for x
    x = 176,578.06/622.05
  6. Step 6: Final answer
    x = 283.86

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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.