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Finding the Fourth Proportional to 299.66, 413.70 and 234.02

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Solution

The fourth proportional to 299.66, 413.70 and 234.02 is: 323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.66 : 413.70 = 234.02 : x
  2. Step 2: Convert to fraction form
    299.66/413.70 = 234.02/x
  3. Step 3: Cross multiply
    299.66x = 413.70 × 234.02
  4. Step 4: Simplify right side
    299.66x = 96,814.07
  5. Step 5: Solve for x
    x = 96,814.07/299.66
  6. Step 6: Final answer
    x = 323.08

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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.