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Finding the Fourth Proportional to 658.57, 908.83 and 363.83

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Solution

The fourth proportional to 658.57, 908.83 and 363.83 is: 502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.57 : 908.83 = 363.83 : x
  2. Step 2: Convert to fraction form
    658.57/908.83 = 363.83/x
  3. Step 3: Cross multiply
    658.57x = 908.83 × 363.83
  4. Step 4: Simplify right side
    658.57x = 330,660.07
  5. Step 5: Solve for x
    x = 330,660.07/658.57
  6. Step 6: Final answer
    x = 502.09

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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.