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Finding the Fourth Proportional to 447.64, 671.28 and 310.27

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Solution

The fourth proportional to 447.64, 671.28 and 310.27 is: 465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.64 : 671.28 = 310.27 : x
  2. Step 2: Convert to fraction form
    447.64/671.28 = 310.27/x
  3. Step 3: Cross multiply
    447.64x = 671.28 × 310.27
  4. Step 4: Simplify right side
    447.64x = 208,278.05
  5. Step 5: Solve for x
    x = 208,278.05/447.64
  6. Step 6: Final answer
    x = 465.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.