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Finding the Fourth Proportional to 399.60, 550.90 and 252.16

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Solution

The fourth proportional to 399.60, 550.90 and 252.16 is: 347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.60 : 550.90 = 252.16 : x
  2. Step 2: Convert to fraction form
    399.60/550.90 = 252.16/x
  3. Step 3: Cross multiply
    399.60x = 550.90 × 252.16
  4. Step 4: Simplify right side
    399.60x = 138,914.94
  5. Step 5: Solve for x
    x = 138,914.94/399.60
  6. Step 6: Final answer
    x = 347.63

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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.