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Finding the Fourth Proportional to 496.44, 685.08 and 422.64

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Solution

The fourth proportional to 496.44, 685.08 and 422.64 is: 583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.44 : 685.08 = 422.64 : x
  2. Step 2: Convert to fraction form
    496.44/685.08 = 422.64/x
  3. Step 3: Cross multiply
    496.44x = 685.08 × 422.64
  4. Step 4: Simplify right side
    496.44x = 289,542.21
  5. Step 5: Solve for x
    x = 289,542.21/496.44
  6. Step 6: Final answer
    x = 583.24

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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.