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Finding the Fourth Proportional to 402.69, 555.71 and 225.66

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Solution

The fourth proportional to 402.69, 555.71 and 225.66 is: 311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.69 : 555.71 = 225.66 : x
  2. Step 2: Convert to fraction form
    402.69/555.71 = 225.66/x
  3. Step 3: Cross multiply
    402.69x = 555.71 × 225.66
  4. Step 4: Simplify right side
    402.69x = 125,401.52
  5. Step 5: Solve for x
    x = 125,401.52/402.69
  6. Step 6: Final answer
    x = 311.41

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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.