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Finding the Fourth Proportional to 419.12, 580.82 and 413.24

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Solution

The fourth proportional to 419.12, 580.82 and 413.24 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.12 : 580.82 = 413.24 : x
  2. Step 2: Convert to fraction form
    419.12/580.82 = 413.24/x
  3. Step 3: Cross multiply
    419.12x = 580.82 × 413.24
  4. Step 4: Simplify right side
    419.12x = 240,018.06
  5. Step 5: Solve for x
    x = 240,018.06/419.12
  6. Step 6: Final answer
    x = 572.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.