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Finding the Fourth Proportional to 416.19, 574.38 and 299.82

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Solution

The fourth proportional to 416.19, 574.38 and 299.82 is: 413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.19 : 574.38 = 299.82 : x
  2. Step 2: Convert to fraction form
    416.19/574.38 = 299.82/x
  3. Step 3: Cross multiply
    416.19x = 574.38 × 299.82
  4. Step 4: Simplify right side
    416.19x = 172,210.61
  5. Step 5: Solve for x
    x = 172,210.61/416.19
  6. Step 6: Final answer
    x = 413.78

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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.