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Finding the Fourth Proportional to 447.42, 671.16 and 173.51

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Solution

The fourth proportional to 447.42, 671.16 and 173.51 is: 260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 671.16 = 173.51 : x
  2. Step 2: Convert to fraction form
    447.42/671.16 = 173.51/x
  3. Step 3: Cross multiply
    447.42x = 671.16 × 173.51
  4. Step 4: Simplify right side
    447.42x = 116,452.97
  5. Step 5: Solve for x
    x = 116,452.97/447.42
  6. Step 6: Final answer
    x = 260.28

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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.