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Finding the Fourth Proportional to 658.62, 908.96 and 363.95

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Solution

The fourth proportional to 658.62, 908.96 and 363.95 is: 502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.62 : 908.96 = 363.95 : x
  2. Step 2: Convert to fraction form
    658.62/908.96 = 363.95/x
  3. Step 3: Cross multiply
    658.62x = 908.96 × 363.95
  4. Step 4: Simplify right side
    658.62x = 330,809.63
  5. Step 5: Solve for x
    x = 330,809.63/658.62
  6. Step 6: Final answer
    x = 502.28

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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.