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Finding the Fourth Proportional to 658.16, 908.28 and 363.42

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Solution

The fourth proportional to 658.16, 908.28 and 363.42 is: 501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 908.28 = 363.42 : x
  2. Step 2: Convert to fraction form
    658.16/908.28 = 363.42/x
  3. Step 3: Cross multiply
    658.16x = 908.28 × 363.42
  4. Step 4: Simplify right side
    658.16x = 330,089.39
  5. Step 5: Solve for x
    x = 330,089.39/658.16
  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.