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Finding the Fourth Proportional to 552.23, 762.09 and 303.56

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Solution

The fourth proportional to 552.23, 762.09 and 303.56 is: 418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.23 : 762.09 = 303.56 : x
  2. Step 2: Convert to fraction form
    552.23/762.09 = 303.56/x
  3. Step 3: Cross multiply
    552.23x = 762.09 × 303.56
  4. Step 4: Simplify right side
    552.23x = 231,340.04
  5. Step 5: Solve for x
    x = 231,340.04/552.23
  6. Step 6: Final answer
    x = 418.92

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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.