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Finding the Fourth Proportional to 658.09, 908.22 and 363.41

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Solution

The fourth proportional to 658.09, 908.22 and 363.41 is: 501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.09 : 908.22 = 363.41 : x
  2. Step 2: Convert to fraction form
    658.09/908.22 = 363.41/x
  3. Step 3: Cross multiply
    658.09x = 908.22 × 363.41
  4. Step 4: Simplify right side
    658.09x = 330,056.23
  5. Step 5: Solve for x
    x = 330,056.23/658.09
  6. Step 6: Final answer
    x = 501.54

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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.