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Finding the Fourth Proportional to 552.61, 762.73 and 331.78

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Solution

The fourth proportional to 552.61, 762.73 and 331.78 is: 457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.61 : 762.73 = 331.78 : x
  2. Step 2: Convert to fraction form
    552.61/762.73 = 331.78/x
  3. Step 3: Cross multiply
    552.61x = 762.73 × 331.78
  4. Step 4: Simplify right side
    552.61x = 253,058.56
  5. Step 5: Solve for x
    x = 253,058.56/552.61
  6. Step 6: Final answer
    x = 457.93

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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.