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Finding the Fourth Proportional to 674.33, 929.48 and 516.38

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Solution

The fourth proportional to 674.33, 929.48 and 516.38 is: 711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.33 : 929.48 = 516.38 : x
  2. Step 2: Convert to fraction form
    674.33/929.48 = 516.38/x
  3. Step 3: Cross multiply
    674.33x = 929.48 × 516.38
  4. Step 4: Simplify right side
    674.33x = 479,957.65
  5. Step 5: Solve for x
    x = 479,957.65/674.33
  6. Step 6: Final answer
    x = 711.76

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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.