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Finding the Fourth Proportional to 579.52, 796.34 and 462.88

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Solution

The fourth proportional to 579.52, 796.34 and 462.88 is: 636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.52 : 796.34 = 462.88 : x
  2. Step 2: Convert to fraction form
    579.52/796.34 = 462.88/x
  3. Step 3: Cross multiply
    579.52x = 796.34 × 462.88
  4. Step 4: Simplify right side
    579.52x = 368,609.86
  5. Step 5: Solve for x
    x = 368,609.86/579.52
  6. Step 6: Final answer
    x = 636.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.