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Finding the Fourth Proportional to 516.38, 773.15 and 413.10

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Solution

The fourth proportional to 516.38, 773.15 and 413.10 is: 618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 773.15 = 413.10 : x
  2. Step 2: Convert to fraction form
    516.38/773.15 = 413.10/x
  3. Step 3: Cross multiply
    516.38x = 773.15 × 413.10
  4. Step 4: Simplify right side
    516.38x = 319,386.20
  5. Step 5: Solve for x
    x = 319,386.20/516.38
  6. Step 6: Final answer
    x = 618.52

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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.