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Finding the Fourth Proportional to 669.35, 923.64 and 374.60

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Solution

The fourth proportional to 669.35, 923.64 and 374.60 is: 516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.35 : 923.64 = 374.60 : x
  2. Step 2: Convert to fraction form
    669.35/923.64 = 374.60/x
  3. Step 3: Cross multiply
    669.35x = 923.64 × 374.60
  4. Step 4: Simplify right side
    669.35x = 345,995.54
  5. Step 5: Solve for x
    x = 345,995.54/669.35
  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.