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Finding the Fourth Proportional to 476.69, 658.09 and 299.70

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Solution

The fourth proportional to 476.69, 658.09 and 299.70 is: 413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.69 : 658.09 = 299.70 : x
  2. Step 2: Convert to fraction form
    476.69/658.09 = 299.70/x
  3. Step 3: Cross multiply
    476.69x = 658.09 × 299.70
  4. Step 4: Simplify right side
    476.69x = 197,230.47
  5. Step 5: Solve for x
    x = 197,230.47/476.69
  6. Step 6: Final answer
    x = 413.75

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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.