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Finding the Fourth Proportional to 622.06, 933.09 and 189.22

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Solution

The fourth proportional to 622.06, 933.09 and 189.22 is: 283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.06 : 933.09 = 189.22 : x
  2. Step 2: Convert to fraction form
    622.06/933.09 = 189.22/x
  3. Step 3: Cross multiply
    622.06x = 933.09 × 189.22
  4. Step 4: Simplify right side
    622.06x = 176,559.29
  5. Step 5: Solve for x
    x = 176,559.29/622.06
  6. Step 6: Final answer
    x = 283.83

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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.