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Finding the Fourth Proportional to 447.77, 617.94 and 251.33

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Solution

The fourth proportional to 447.77, 617.94 and 251.33 is: 346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.77 : 617.94 = 251.33 : x
  2. Step 2: Convert to fraction form
    447.77/617.94 = 251.33/x
  3. Step 3: Cross multiply
    447.77x = 617.94 × 251.33
  4. Step 4: Simplify right side
    447.77x = 155,303.77
  5. Step 5: Solve for x
    x = 155,303.77/447.77
  6. Step 6: Final answer
    x = 346.84

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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.