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Finding the Fourth Proportional to 496.72, 685.20 and 461.52

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Solution

The fourth proportional to 496.72, 685.20 and 461.52 is: 636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.72 : 685.20 = 461.52 : x
  2. Step 2: Convert to fraction form
    496.72/685.20 = 461.52/x
  3. Step 3: Cross multiply
    496.72x = 685.20 × 461.52
  4. Step 4: Simplify right side
    496.72x = 316,233.50
  5. Step 5: Solve for x
    x = 316,233.50/496.72
  6. Step 6: Final answer
    x = 636.64

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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.