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Finding the Fourth Proportional to 299.88, 413.89 and 265.10

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Solution

The fourth proportional to 299.88, 413.89 and 265.10 is: 365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.88 : 413.89 = 265.10 : x
  2. Step 2: Convert to fraction form
    299.88/413.89 = 265.10/x
  3. Step 3: Cross multiply
    299.88x = 413.89 × 265.10
  4. Step 4: Simplify right side
    299.88x = 109,722.24
  5. Step 5: Solve for x
    x = 109,722.24/299.88
  6. Step 6: Final answer
    x = 365.89

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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.