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Finding the Fourth Proportional to 413.26, 570.24 and 263.83

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Solution

The fourth proportional to 413.26, 570.24 and 263.83 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 570.24 = 263.83 : x
  2. Step 2: Convert to fraction form
    413.26/570.24 = 263.83/x
  3. Step 3: Cross multiply
    413.26x = 570.24 × 263.83
  4. Step 4: Simplify right side
    413.26x = 150,446.42
  5. Step 5: Solve for x
    x = 150,446.42/413.26
  6. Step 6: Final answer
    x = 364.05

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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.