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Finding the Fourth Proportional to 516.58, 775.60 and 413.54

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Solution

The fourth proportional to 516.58, 775.60 and 413.54 is: 620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.58 : 775.60 = 413.54 : x
  2. Step 2: Convert to fraction form
    516.58/775.60 = 413.54/x
  3. Step 3: Cross multiply
    516.58x = 775.60 × 413.54
  4. Step 4: Simplify right side
    516.58x = 320,741.62
  5. Step 5: Solve for x
    x = 320,741.62/516.58
  6. Step 6: Final answer
    x = 620.89

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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.