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Finding the Fourth Proportional to 360.56, 496.92 and 262.16

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Solution

The fourth proportional to 360.56, 496.92 and 262.16 is: 361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.56 : 496.92 = 262.16 : x
  2. Step 2: Convert to fraction form
    360.56/496.92 = 262.16/x
  3. Step 3: Cross multiply
    360.56x = 496.92 × 262.16
  4. Step 4: Simplify right side
    360.56x = 130,272.55
  5. Step 5: Solve for x
    x = 130,272.55/360.56
  6. Step 6: Final answer
    x = 361.31

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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.