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Finding the Fourth Proportional to 536.41, 798.28 and 516.97

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Solution

The fourth proportional to 536.41, 798.28 and 516.97 is: 769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.41 : 798.28 = 516.97 : x
  2. Step 2: Convert to fraction form
    536.41/798.28 = 516.97/x
  3. Step 3: Cross multiply
    536.41x = 798.28 × 516.97
  4. Step 4: Simplify right side
    536.41x = 412,686.81
  5. Step 5: Solve for x
    x = 412,686.81/536.41
  6. Step 6: Final answer
    x = 769.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.