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Finding the Fourth Proportional to 610.23, 913.62 and 552.56

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Solution

The fourth proportional to 610.23, 913.62 and 552.56 is: 827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.23 : 913.62 = 552.56 : x
  2. Step 2: Convert to fraction form
    610.23/913.62 = 552.56/x
  3. Step 3: Cross multiply
    610.23x = 913.62 × 552.56
  4. Step 4: Simplify right side
    610.23x = 504,829.87
  5. Step 5: Solve for x
    x = 504,829.87/610.23
  6. Step 6: Final answer
    x = 827.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.