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Finding the Fourth Proportional to 516.23, 774.35 and 413.03

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Solution

The fourth proportional to 516.23, 774.35 and 413.03 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.23 : 774.35 = 413.03 : x
  2. Step 2: Convert to fraction form
    516.23/774.35 = 413.03/x
  3. Step 3: Cross multiply
    516.23x = 774.35 × 413.03
  4. Step 4: Simplify right side
    516.23x = 319,823.84
  5. Step 5: Solve for x
    x = 319,823.84/516.23
  6. Step 6: Final answer
    x = 619.54

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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.