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Finding the Fourth Proportional to 552.21, 762.07 and 303.51

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Solution

The fourth proportional to 552.21, 762.07 and 303.51 is: 418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.21 : 762.07 = 303.51 : x
  2. Step 2: Convert to fraction form
    552.21/762.07 = 303.51/x
  3. Step 3: Cross multiply
    552.21x = 762.07 × 303.51
  4. Step 4: Simplify right side
    552.21x = 231,295.87
  5. Step 5: Solve for x
    x = 231,295.87/552.21
  6. Step 6: Final answer
    x = 418.85

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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.