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Finding the Fourth Proportional to 447.96, 671.81 and 174.00

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Solution

The fourth proportional to 447.96, 671.81 and 174.00 is: 260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.96 : 671.81 = 174.00 : x
  2. Step 2: Convert to fraction form
    447.96/671.81 = 174.00/x
  3. Step 3: Cross multiply
    447.96x = 671.81 × 174.00
  4. Step 4: Simplify right side
    447.96x = 116,893.79
  5. Step 5: Solve for x
    x = 116,893.79/447.96
  6. Step 6: Final answer
    x = 260.94

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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.