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Finding the Fourth Proportional to 668.45, 921.35 and 447.32

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Solution

The fourth proportional to 668.45, 921.35 and 447.32 is: 616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.45 : 921.35 = 447.32 : x
  2. Step 2: Convert to fraction form
    668.45/921.35 = 447.32/x
  3. Step 3: Cross multiply
    668.45x = 921.35 × 447.32
  4. Step 4: Simplify right side
    668.45x = 412,134.79
  5. Step 5: Solve for x
    x = 412,134.79/668.45
  6. Step 6: Final answer
    x = 616.56

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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.