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Finding the Fourth Proportional to 477.09, 658.24 and 299.97

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Solution

The fourth proportional to 477.09, 658.24 and 299.97 is: 413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.09 : 658.24 = 299.97 : x
  2. Step 2: Convert to fraction form
    477.09/658.24 = 299.97/x
  3. Step 3: Cross multiply
    477.09x = 658.24 × 299.97
  4. Step 4: Simplify right side
    477.09x = 197,451.50
  5. Step 5: Solve for x
    x = 197,451.50/477.09
  6. Step 6: Final answer
    x = 413.87

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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.