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Finding the Fourth Proportional to 413.30, 568.55 and 363.27

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Solution

The fourth proportional to 413.30, 568.55 and 363.27 is: 499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.30 : 568.55 = 363.27 : x
  2. Step 2: Convert to fraction form
    413.30/568.55 = 363.27/x
  3. Step 3: Cross multiply
    413.30x = 568.55 × 363.27
  4. Step 4: Simplify right side
    413.30x = 206,535.34
  5. Step 5: Solve for x
    x = 206,535.34/413.30
  6. Step 6: Final answer
    x = 499.73

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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.