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Finding the Fourth Proportional to 669.12, 923.37 and 374.38

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Solution

The fourth proportional to 669.12, 923.37 and 374.38 is: 516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.12 : 923.37 = 374.38 : x
  2. Step 2: Convert to fraction form
    669.12/923.37 = 374.38/x
  3. Step 3: Cross multiply
    669.12x = 923.37 × 374.38
  4. Step 4: Simplify right side
    669.12x = 345,691.26
  5. Step 5: Solve for x
    x = 345,691.26/669.12
  6. Step 6: Final answer
    x = 516.64

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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.