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Finding the Fourth Proportional to 560.88, 773.16 and 413.27

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Solution

The fourth proportional to 560.88, 773.16 and 413.27 is: 569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.88 : 773.16 = 413.27 : x
  2. Step 2: Convert to fraction form
    560.88/773.16 = 413.27/x
  3. Step 3: Cross multiply
    560.88x = 773.16 × 413.27
  4. Step 4: Simplify right side
    560.88x = 319,519.97
  5. Step 5: Solve for x
    x = 319,519.97/560.88
  6. Step 6: Final answer
    x = 569.68

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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.