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Finding the Fourth Proportional to 500.87, 750.22 and 413.22

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Solution

The fourth proportional to 500.87, 750.22 and 413.22 is: 618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.87 : 750.22 = 413.22 : x
  2. Step 2: Convert to fraction form
    500.87/750.22 = 413.22/x
  3. Step 3: Cross multiply
    500.87x = 750.22 × 413.22
  4. Step 4: Simplify right side
    500.87x = 310,007.69
  5. Step 5: Solve for x
    x = 310,007.69/500.87
  6. Step 6: Final answer
    x = 618.94

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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.