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Finding the Fourth Proportional to 447.95, 671.72 and 173.83

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Solution

The fourth proportional to 447.95, 671.72 and 173.83 is: 260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.95 : 671.72 = 173.83 : x
  2. Step 2: Convert to fraction form
    447.95/671.72 = 173.83/x
  3. Step 3: Cross multiply
    447.95x = 671.72 × 173.83
  4. Step 4: Simplify right side
    447.95x = 116,762.54
  5. Step 5: Solve for x
    x = 116,762.54/447.95
  6. Step 6: Final answer
    x = 260.66

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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.