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Finding the Fourth Proportional to 552.14, 761.74 and 331.04

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Solution

The fourth proportional to 552.14, 761.74 and 331.04 is: 456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.14 : 761.74 = 331.04 : x
  2. Step 2: Convert to fraction form
    552.14/761.74 = 331.04/x
  3. Step 3: Cross multiply
    552.14x = 761.74 × 331.04
  4. Step 4: Simplify right side
    552.14x = 252,166.41
  5. Step 5: Solve for x
    x = 252,166.41/552.14
  6. Step 6: Final answer
    x = 456.71

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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.