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Finding the Fourth Proportional to 369.08, 509.81 and 299.60

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Solution

The fourth proportional to 369.08, 509.81 and 299.60 is: 413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.08 : 509.81 = 299.60 : x
  2. Step 2: Convert to fraction form
    369.08/509.81 = 299.60/x
  3. Step 3: Cross multiply
    369.08x = 509.81 × 299.60
  4. Step 4: Simplify right side
    369.08x = 152,735.03
  5. Step 5: Solve for x
    x = 152,735.03/369.08
  6. Step 6: Final answer
    x = 413.83

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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.