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Finding the Fourth Proportional to 402.82, 555.89 and 225.77

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Solution

The fourth proportional to 402.82, 555.89 and 225.77 is: 311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.82 : 555.89 = 225.77 : x
  2. Step 2: Convert to fraction form
    402.82/555.89 = 225.77/x
  3. Step 3: Cross multiply
    402.82x = 555.89 × 225.77
  4. Step 4: Simplify right side
    402.82x = 125,505.24
  5. Step 5: Solve for x
    x = 125,505.24/402.82
  6. Step 6: Final answer
    x = 311.57

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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.