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Finding the Fourth Proportional to 506.89, 696.52 and 413.44

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Solution

The fourth proportional to 506.89, 696.52 and 413.44 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.89 : 696.52 = 413.44 : x
  2. Step 2: Convert to fraction form
    506.89/696.52 = 413.44/x
  3. Step 3: Cross multiply
    506.89x = 696.52 × 413.44
  4. Step 4: Simplify right side
    506.89x = 287,969.23
  5. Step 5: Solve for x
    x = 287,969.23/506.89
  6. Step 6: Final answer
    x = 568.11

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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.