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Finding the Fourth Proportional to 436.82, 654.86 and 193.22

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Solution

The fourth proportional to 436.82, 654.86 and 193.22 is: 289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.82 : 654.86 = 193.22 : x
  2. Step 2: Convert to fraction form
    436.82/654.86 = 193.22/x
  3. Step 3: Cross multiply
    436.82x = 654.86 × 193.22
  4. Step 4: Simplify right side
    436.82x = 126,528.77
  5. Step 5: Solve for x
    x = 126,528.77/436.82
  6. Step 6: Final answer
    x = 289.66

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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.