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Finding the Fourth Proportional to 436.94, 655.62 and 193.43

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Solution

The fourth proportional to 436.94, 655.62 and 193.43 is: 290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.94 : 655.62 = 193.43 : x
  2. Step 2: Convert to fraction form
    436.94/655.62 = 193.43/x
  3. Step 3: Cross multiply
    436.94x = 655.62 × 193.43
  4. Step 4: Simplify right side
    436.94x = 126,816.58
  5. Step 5: Solve for x
    x = 126,816.58/436.94
  6. Step 6: Final answer
    x = 290.24

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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.