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Finding the Fourth Proportional to 658.94, 908.09 and 472.11

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Solution

The fourth proportional to 658.94, 908.09 and 472.11 is: 650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.94 : 908.09 = 472.11 : x
  2. Step 2: Convert to fraction form
    658.94/908.09 = 472.11/x
  3. Step 3: Cross multiply
    658.94x = 908.09 × 472.11
  4. Step 4: Simplify right side
    658.94x = 428,717.19
  5. Step 5: Solve for x
    x = 428,717.19/658.94
  6. Step 6: Final answer
    x = 650.62

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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.