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Finding the Fourth Proportional to 474.42, 713.32 and 413.94

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Solution

The fourth proportional to 474.42, 713.32 and 413.94 is: 622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.42 : 713.32 = 413.94 : x
  2. Step 2: Convert to fraction form
    474.42/713.32 = 413.94/x
  3. Step 3: Cross multiply
    474.42x = 713.32 × 413.94
  4. Step 4: Simplify right side
    474.42x = 295,267.88
  5. Step 5: Solve for x
    x = 295,267.88/474.42
  6. Step 6: Final answer
    x = 622.38

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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.