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Finding the Fourth Proportional to 658.16, 908.26 and 363.44

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Solution

The fourth proportional to 658.16, 908.26 and 363.44 is: 501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 908.26 = 363.44 : x
  2. Step 2: Convert to fraction form
    658.16/908.26 = 363.44/x
  3. Step 3: Cross multiply
    658.16x = 908.26 × 363.44
  4. Step 4: Simplify right side
    658.16x = 330,098.01
  5. Step 5: Solve for x
    x = 330,098.01/658.16
  6. Step 6: Final answer
    x = 501.55

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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.