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Finding the Fourth Proportional to 669.17, 923.49 and 374.46

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Solution

The fourth proportional to 669.17, 923.49 and 374.46 is: 516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.17 : 923.49 = 374.46 : x
  2. Step 2: Convert to fraction form
    669.17/923.49 = 374.46/x
  3. Step 3: Cross multiply
    669.17x = 923.49 × 374.46
  4. Step 4: Simplify right side
    669.17x = 345,808.01
  5. Step 5: Solve for x
    x = 345,808.01/669.17
  6. Step 6: Final answer
    x = 516.77

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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.