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Finding the Fourth Proportional to 622.49, 933.73 and 189.65

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Solution

The fourth proportional to 622.49, 933.73 and 189.65 is: 284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.49 : 933.73 = 189.65 : x
  2. Step 2: Convert to fraction form
    622.49/933.73 = 189.65/x
  3. Step 3: Cross multiply
    622.49x = 933.73 × 189.65
  4. Step 4: Simplify right side
    622.49x = 177,079.03
  5. Step 5: Solve for x
    x = 177,079.03/622.49
  6. Step 6: Final answer
    x = 284.47

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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.