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Finding the Fourth Proportional to 668.85, 923.00 and 374.11

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Solution

The fourth proportional to 668.85, 923.00 and 374.11 is: 516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.85 : 923.00 = 374.11 : x
  2. Step 2: Convert to fraction form
    668.85/923.00 = 374.11/x
  3. Step 3: Cross multiply
    668.85x = 923.00 × 374.11
  4. Step 4: Simplify right side
    668.85x = 345,301.66
  5. Step 5: Solve for x
    x = 345,301.66/668.85
  6. Step 6: Final answer
    x = 516.27

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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.