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Finding the Fourth Proportional to 400, 552 and 225.39

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Solution

The fourth proportional to 400, 552 and 225.39 is: 311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400 : 552 = 225.39 : x
  2. Step 2: Convert to fraction form
    400/552 = 225.39/x
  3. Step 3: Cross multiply
    400x = 552 × 225.39
  4. Step 4: Simplify right side
    400x = 124,415.28
  5. Step 5: Solve for x
    x = 124,415.28/400
  6. Step 6: Final answer
    x = 311.04

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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.