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Finding the Fourth Proportional to 299.37, 413.07 and 229.51

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Solution

The fourth proportional to 299.37, 413.07 and 229.51 is: 316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.37 : 413.07 = 229.51 : x
  2. Step 2: Convert to fraction form
    299.37/413.07 = 229.51/x
  3. Step 3: Cross multiply
    299.37x = 413.07 × 229.51
  4. Step 4: Simplify right side
    299.37x = 94,803.70
  5. Step 5: Solve for x
    x = 94,803.70/299.37
  6. Step 6: Final answer
    x = 316.68

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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.