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Finding the Fourth Proportional to 576.02, 863.24 and 413.34

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Solution

The fourth proportional to 576.02, 863.24 and 413.34 is: 619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.02 : 863.24 = 413.34 : x
  2. Step 2: Convert to fraction form
    576.02/863.24 = 413.34/x
  3. Step 3: Cross multiply
    576.02x = 863.24 × 413.34
  4. Step 4: Simplify right side
    576.02x = 356,809.55
  5. Step 5: Solve for x
    x = 356,809.55/576.02
  6. Step 6: Final answer
    x = 619.44

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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.