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Finding the Fourth Proportional to 668.83, 923.04 and 447.87

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Solution

The fourth proportional to 668.83, 923.04 and 447.87 is: 618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.83 : 923.04 = 447.87 : x
  2. Step 2: Convert to fraction form
    668.83/923.04 = 447.87/x
  3. Step 3: Cross multiply
    668.83x = 923.04 × 447.87
  4. Step 4: Simplify right side
    668.83x = 413,399.69
  5. Step 5: Solve for x
    x = 413,399.69/668.83
  6. Step 6: Final answer
    x = 618.09

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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.