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Finding the Fourth Proportional to 436.12, 654.41 and 192.65

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Solution

The fourth proportional to 436.12, 654.41 and 192.65 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.12 : 654.41 = 192.65 : x
  2. Step 2: Convert to fraction form
    436.12/654.41 = 192.65/x
  3. Step 3: Cross multiply
    436.12x = 654.41 × 192.65
  4. Step 4: Simplify right side
    436.12x = 126,069.30
  5. Step 5: Solve for x
    x = 126,069.30/436.12
  6. Step 6: Final answer
    x = 289.07

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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.