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Finding the Fourth Proportional to 654.23, 902.82 and 359.48

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Solution

The fourth proportional to 654.23, 902.82 and 359.48 is: 496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.23 : 902.82 = 359.48 : x
  2. Step 2: Convert to fraction form
    654.23/902.82 = 359.48/x
  3. Step 3: Cross multiply
    654.23x = 902.82 × 359.48
  4. Step 4: Simplify right side
    654.23x = 324,545.73
  5. Step 5: Solve for x
    x = 324,545.73/654.23
  6. Step 6: Final answer
    x = 496.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.