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Finding the Fourth Proportional to 552.27, 761.22 and 377.31

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Solution

The fourth proportional to 552.27, 761.22 and 377.31 is: 520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.27 : 761.22 = 377.31 : x
  2. Step 2: Convert to fraction form
    552.27/761.22 = 377.31/x
  3. Step 3: Cross multiply
    552.27x = 761.22 × 377.31
  4. Step 4: Simplify right side
    552.27x = 287,215.92
  5. Step 5: Solve for x
    x = 287,215.92/552.27
  6. Step 6: Final answer
    x = 520.06

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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.