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Finding the Fourth Proportional to 447.72, 617.94 and 281.94

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Solution

The fourth proportional to 447.72, 617.94 and 281.94 is: 389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.72 : 617.94 = 281.94 : x
  2. Step 2: Convert to fraction form
    447.72/617.94 = 281.94/x
  3. Step 3: Cross multiply
    447.72x = 617.94 × 281.94
  4. Step 4: Simplify right side
    447.72x = 174,222.00
  5. Step 5: Solve for x
    x = 174,222.00/447.72
  6. Step 6: Final answer
    x = 389.13

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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.