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Finding the Fourth Proportional to 517.06, 777.56 and 413.19

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Solution

The fourth proportional to 517.06, 777.56 and 413.19 is: 621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.06 : 777.56 = 413.19 : x
  2. Step 2: Convert to fraction form
    517.06/777.56 = 413.19/x
  3. Step 3: Cross multiply
    517.06x = 777.56 × 413.19
  4. Step 4: Simplify right side
    517.06x = 321,280.02
  5. Step 5: Solve for x
    x = 321,280.02/517.06
  6. Step 6: Final answer
    x = 621.36

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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.