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Finding the Fourth Proportional to 552.93, 762.84 and 331.80

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Solution

The fourth proportional to 552.93, 762.84 and 331.80 is: 457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.93 : 762.84 = 331.80 : x
  2. Step 2: Convert to fraction form
    552.93/762.84 = 331.80/x
  3. Step 3: Cross multiply
    552.93x = 762.84 × 331.80
  4. Step 4: Simplify right side
    552.93x = 253,110.31
  5. Step 5: Solve for x
    x = 253,110.31/552.93
  6. Step 6: Final answer
    x = 457.76

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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.