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Finding the Fourth Proportional to 579.96, 801.39 and 413.88

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Solution

The fourth proportional to 579.96, 801.39 and 413.88 is: 571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.96 : 801.39 = 413.88 : x
  2. Step 2: Convert to fraction form
    579.96/801.39 = 413.88/x
  3. Step 3: Cross multiply
    579.96x = 801.39 × 413.88
  4. Step 4: Simplify right side
    579.96x = 331,679.29
  5. Step 5: Solve for x
    x = 331,679.29/579.96
  6. Step 6: Final answer
    x = 571.90

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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.