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Finding the Fourth Proportional to 299.50, 413.10 and 233.89

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Solution

The fourth proportional to 299.50, 413.10 and 233.89 is: 322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 413.10 = 233.89 : x
  2. Step 2: Convert to fraction form
    299.50/413.10 = 233.89/x
  3. Step 3: Cross multiply
    299.50x = 413.10 × 233.89
  4. Step 4: Simplify right side
    299.50x = 96,618.93
  5. Step 5: Solve for x
    x = 96,618.93/299.50
  6. Step 6: Final answer
    x = 322.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.