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Finding the Fourth Proportional to 669.24, 923.64 and 374.54

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Solution

The fourth proportional to 669.24, 923.64 and 374.54 is: 516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.24 : 923.64 = 374.54 : x
  2. Step 2: Convert to fraction form
    669.24/923.64 = 374.54/x
  3. Step 3: Cross multiply
    669.24x = 923.64 × 374.54
  4. Step 4: Simplify right side
    669.24x = 345,940.13
  5. Step 5: Solve for x
    x = 345,940.13/669.24
  6. Step 6: Final answer
    x = 516.91

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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.