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Finding the Fourth Proportional to 500.80, 687.88 and 413.28

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Solution

The fourth proportional to 500.80, 687.88 and 413.28 is: 567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.80 : 687.88 = 413.28 : x
  2. Step 2: Convert to fraction form
    500.80/687.88 = 413.28/x
  3. Step 3: Cross multiply
    500.80x = 687.88 × 413.28
  4. Step 4: Simplify right side
    500.80x = 284,287.05
  5. Step 5: Solve for x
    x = 284,287.05/500.80
  6. Step 6: Final answer
    x = 567.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.