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Finding the Fourth Proportional to 560.22, 773.92 and 413.67

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Solution

The fourth proportional to 560.22, 773.92 and 413.67 is: 571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.22 : 773.92 = 413.67 : x
  2. Step 2: Convert to fraction form
    560.22/773.92 = 413.67/x
  3. Step 3: Cross multiply
    560.22x = 773.92 × 413.67
  4. Step 4: Simplify right side
    560.22x = 320,147.49
  5. Step 5: Solve for x
    x = 320,147.49/560.22
  6. Step 6: Final answer
    x = 571.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.