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Finding the Fourth Proportional to 668.08, 921.98 and 447.12

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Solution

The fourth proportional to 668.08, 921.98 and 447.12 is: 617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.08 : 921.98 = 447.12 : x
  2. Step 2: Convert to fraction form
    668.08/921.98 = 447.12/x
  3. Step 3: Cross multiply
    668.08x = 921.98 × 447.12
  4. Step 4: Simplify right side
    668.08x = 412,235.70
  5. Step 5: Solve for x
    x = 412,235.70/668.08
  6. Step 6: Final answer
    x = 617.05

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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.