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Finding the Fourth Proportional to 683.64, 943.08 and 447.49

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Solution

The fourth proportional to 683.64, 943.08 and 447.49 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.64 : 943.08 = 447.49 : x
  2. Step 2: Convert to fraction form
    683.64/943.08 = 447.49/x
  3. Step 3: Cross multiply
    683.64x = 943.08 × 447.49
  4. Step 4: Simplify right side
    683.64x = 422,018.87
  5. Step 5: Solve for x
    x = 422,018.87/683.64
  6. Step 6: Final answer
    x = 617.31

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1.5x scale

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.