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Finding the Fourth Proportional to 620.61, 929.57 and 537.26

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Solution

The fourth proportional to 620.61, 929.57 and 537.26 is: 804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.61 : 929.57 = 537.26 : x
  2. Step 2: Convert to fraction form
    620.61/929.57 = 537.26/x
  3. Step 3: Cross multiply
    620.61x = 929.57 × 537.26
  4. Step 4: Simplify right side
    620.61x = 499,413.44
  5. Step 5: Solve for x
    x = 499,413.44/620.61
  6. Step 6: Final answer
    x = 804.71

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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.