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Finding the Fourth Proportional to 658.50, 908.64 and 363.69

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Solution

The fourth proportional to 658.50, 908.64 and 363.69 is: 501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.50 : 908.64 = 363.69 : x
  2. Step 2: Convert to fraction form
    658.50/908.64 = 363.69/x
  3. Step 3: Cross multiply
    658.50x = 908.64 × 363.69
  4. Step 4: Simplify right side
    658.50x = 330,463.28
  5. Step 5: Solve for x
    x = 330,463.28/658.50
  6. Step 6: Final answer
    x = 501.84

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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.