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Finding the Fourth Proportional to 476.46, 713.62 and 413.96

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Solution

The fourth proportional to 476.46, 713.62 and 413.96 is: 620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.46 : 713.62 = 413.96 : x
  2. Step 2: Convert to fraction form
    476.46/713.62 = 413.96/x
  3. Step 3: Cross multiply
    476.46x = 713.62 × 413.96
  4. Step 4: Simplify right side
    476.46x = 295,410.14
  5. Step 5: Solve for x
    x = 295,410.14/476.46
  6. Step 6: Final answer
    x = 620.01

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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.