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Finding the Fourth Proportional to 516.96, 776.16 and 413.92

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Solution

The fourth proportional to 516.96, 776.16 and 413.92 is: 621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 776.16 = 413.92 : x
  2. Step 2: Convert to fraction form
    516.96/776.16 = 413.92/x
  3. Step 3: Cross multiply
    516.96x = 776.16 × 413.92
  4. Step 4: Simplify right side
    516.96x = 321,266.21
  5. Step 5: Solve for x
    x = 321,266.21/516.96
  6. Step 6: Final answer
    x = 621.45

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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.