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Finding the Fourth Proportional to 299.71, 413.24 and 258.19

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Solution

The fourth proportional to 299.71, 413.24 and 258.19 is: 356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.71 : 413.24 = 258.19 : x
  2. Step 2: Convert to fraction form
    299.71/413.24 = 258.19/x
  3. Step 3: Cross multiply
    299.71x = 413.24 × 258.19
  4. Step 4: Simplify right side
    299.71x = 106,694.44
  5. Step 5: Solve for x
    x = 106,694.44/299.71
  6. Step 6: Final answer
    x = 356.00

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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.