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Finding the Fourth Proportional to 447.48, 617.46 and 251.00

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Solution

The fourth proportional to 447.48, 617.46 and 251.00 is: 346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.48 : 617.46 = 251.00 : x
  2. Step 2: Convert to fraction form
    447.48/617.46 = 251.00/x
  3. Step 3: Cross multiply
    447.48x = 617.46 × 251.00
  4. Step 4: Simplify right side
    447.48x = 154,979.37
  5. Step 5: Solve for x
    x = 154,979.37/447.48
  6. Step 6: Final answer
    x = 346.34

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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.