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Finding the Fourth Proportional to 399.08, 550.49 and 251.45

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Solution

The fourth proportional to 399.08, 550.49 and 251.45 is: 346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.08 : 550.49 = 251.45 : x
  2. Step 2: Convert to fraction form
    399.08/550.49 = 251.45/x
  3. Step 3: Cross multiply
    399.08x = 550.49 × 251.45
  4. Step 4: Simplify right side
    399.08x = 138,416.70
  5. Step 5: Solve for x
    x = 138,416.70/399.08
  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.