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Finding the Fourth Proportional to 299.59, 413.80 and 290.02

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Solution

The fourth proportional to 299.59, 413.80 and 290.02 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.59 : 413.80 = 290.02 : x
  2. Step 2: Convert to fraction form
    299.59/413.80 = 290.02/x
  3. Step 3: Cross multiply
    299.59x = 413.80 × 290.02
  4. Step 4: Simplify right side
    299.59x = 120,010.28
  5. Step 5: Solve for x
    x = 120,010.28/299.59
  6. Step 6: Final answer
    x = 400.58

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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.