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Finding the Fourth Proportional to 413.16, 568.87 and 350.86

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Solution

The fourth proportional to 413.16, 568.87 and 350.86 is: 483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 568.87 = 350.86 : x
  2. Step 2: Convert to fraction form
    413.16/568.87 = 350.86/x
  3. Step 3: Cross multiply
    413.16x = 568.87 × 350.86
  4. Step 4: Simplify right side
    413.16x = 199,593.73
  5. Step 5: Solve for x
    x = 199,593.73/413.16
  6. Step 6: Final answer
    x = 483.09

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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.