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Finding the Fourth Proportional to 514.62, 773.60 and 413.02

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Solution

The fourth proportional to 514.62, 773.60 and 413.02 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.62 : 773.60 = 413.02 : x
  2. Step 2: Convert to fraction form
    514.62/773.60 = 413.02/x
  3. Step 3: Cross multiply
    514.62x = 773.60 × 413.02
  4. Step 4: Simplify right side
    514.62x = 319,508.40
  5. Step 5: Solve for x
    x = 319,508.40/514.62
  6. Step 6: Final answer
    x = 620.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.