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Finding the Fourth Proportional to 576.44, 796.26 and 493.28

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Solution

The fourth proportional to 576.44, 796.26 and 493.28 is: 681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.44 : 796.26 = 493.28 : x
  2. Step 2: Convert to fraction form
    576.44/796.26 = 493.28/x
  3. Step 3: Cross multiply
    576.44x = 796.26 × 493.28
  4. Step 4: Simplify right side
    576.44x = 392,779.13
  5. Step 5: Solve for x
    x = 392,779.13/576.44
  6. Step 6: Final answer
    x = 681.39

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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.