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Finding the Fourth Proportional to 668.63, 922.92 and 458.73

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Solution

The fourth proportional to 668.63, 922.92 and 458.73 is: 633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.63 : 922.92 = 458.73 : x
  2. Step 2: Convert to fraction form
    668.63/922.92 = 458.73/x
  3. Step 3: Cross multiply
    668.63x = 922.92 × 458.73
  4. Step 4: Simplify right side
    668.63x = 423,371.09
  5. Step 5: Solve for x
    x = 423,371.09/668.63
  6. Step 6: Final answer
    x = 633.19

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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.