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Finding the Fourth Proportional to 668.96, 921.36 and 628.64

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Solution

The fourth proportional to 668.96, 921.36 and 628.64 is: 865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.96 : 921.36 = 628.64 : x
  2. Step 2: Convert to fraction form
    668.96/921.36 = 628.64/x
  3. Step 3: Cross multiply
    668.96x = 921.36 × 628.64
  4. Step 4: Simplify right side
    668.96x = 579,203.75
  5. Step 5: Solve for x
    x = 579,203.75/668.96
  6. Step 6: Final answer
    x = 865.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.