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Finding the Fourth Proportional to 349.69, 482.91 and 299.61

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Solution

The fourth proportional to 349.69, 482.91 and 299.61 is: 413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.69 : 482.91 = 299.61 : x
  2. Step 2: Convert to fraction form
    349.69/482.91 = 299.61/x
  3. Step 3: Cross multiply
    349.69x = 482.91 × 299.61
  4. Step 4: Simplify right side
    349.69x = 144,684.67
  5. Step 5: Solve for x
    x = 144,684.67/349.69
  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.