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Finding the Fourth Proportional to 576.26, 863.10 and 413.45

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Solution

The fourth proportional to 576.26, 863.10 and 413.45 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.26 : 863.10 = 413.45 : x
  2. Step 2: Convert to fraction form
    576.26/863.10 = 413.45/x
  3. Step 3: Cross multiply
    576.26x = 863.10 × 413.45
  4. Step 4: Simplify right side
    576.26x = 356,844.38
  5. Step 5: Solve for x
    x = 356,844.38/576.26
  6. Step 6: Final answer
    x = 619.25

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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.