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Finding the Fourth Proportional to 448.28, 617.82 and 331.64

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Solution

The fourth proportional to 448.28, 617.82 and 331.64 is: 457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.28 : 617.82 = 331.64 : x
  2. Step 2: Convert to fraction form
    448.28/617.82 = 331.64/x
  3. Step 3: Cross multiply
    448.28x = 617.82 × 331.64
  4. Step 4: Simplify right side
    448.28x = 204,893.82
  5. Step 5: Solve for x
    x = 204,893.82/448.28
  6. Step 6: Final answer
    x = 457.07

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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.