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Finding the Fourth Proportional to 402.43, 555.30 and 225.37

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Solution

The fourth proportional to 402.43, 555.30 and 225.37 is: 310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.43 : 555.30 = 225.37 : x
  2. Step 2: Convert to fraction form
    402.43/555.30 = 225.37/x
  3. Step 3: Cross multiply
    402.43x = 555.30 × 225.37
  4. Step 4: Simplify right side
    402.43x = 125,147.96
  5. Step 5: Solve for x
    x = 125,147.96/402.43
  6. Step 6: Final answer
    x = 310.98

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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.