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Finding the Fourth Proportional to 447.78, 617.70 and 281.88

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Solution

The fourth proportional to 447.78, 617.70 and 281.88 is: 388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.78 : 617.70 = 281.88 : x
  2. Step 2: Convert to fraction form
    447.78/617.70 = 281.88/x
  3. Step 3: Cross multiply
    447.78x = 617.70 × 281.88
  4. Step 4: Simplify right side
    447.78x = 174,117.28
  5. Step 5: Solve for x
    x = 174,117.28/447.78
  6. Step 6: Final answer
    x = 388.85

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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.