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Finding the Fourth Proportional to 658.68, 908.94 and 363.99

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Solution

The fourth proportional to 658.68, 908.94 and 363.99 is: 502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.68 : 908.94 = 363.99 : x
  2. Step 2: Convert to fraction form
    658.68/908.94 = 363.99/x
  3. Step 3: Cross multiply
    658.68x = 908.94 × 363.99
  4. Step 4: Simplify right side
    658.68x = 330,845.07
  5. Step 5: Solve for x
    x = 330,845.07/658.68
  6. Step 6: Final answer
    x = 502.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.