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Finding the Fourth Proportional to 669.27, 923.64 and 374.61

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Solution

The fourth proportional to 669.27, 923.64 and 374.61 is: 516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.27 : 923.64 = 374.61 : x
  2. Step 2: Convert to fraction form
    669.27/923.64 = 374.61/x
  3. Step 3: Cross multiply
    669.27x = 923.64 × 374.61
  4. Step 4: Simplify right side
    669.27x = 346,004.78
  5. Step 5: Solve for x
    x = 346,004.78/669.27
  6. Step 6: Final answer
    x = 516.99

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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.