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Finding the Fourth Proportional to 436.30, 654.45 and 192.77

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Solution

The fourth proportional to 436.30, 654.45 and 192.77 is: 289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.30 : 654.45 = 192.77 : x
  2. Step 2: Convert to fraction form
    436.30/654.45 = 192.77/x
  3. Step 3: Cross multiply
    436.30x = 654.45 × 192.77
  4. Step 4: Simplify right side
    436.30x = 126,158.33
  5. Step 5: Solve for x
    x = 126,158.33/436.30
  6. Step 6: Final answer
    x = 289.16

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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.