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Finding the Fourth Proportional to 402.26, 555.09 and 262.43

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Solution

The fourth proportional to 402.26, 555.09 and 262.43 is: 362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.26 : 555.09 = 262.43 : x
  2. Step 2: Convert to fraction form
    402.26/555.09 = 262.43/x
  3. Step 3: Cross multiply
    402.26x = 555.09 × 262.43
  4. Step 4: Simplify right side
    402.26x = 145,669.49
  5. Step 5: Solve for x
    x = 145,669.49/402.26
  6. Step 6: Final answer
    x = 362.13

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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.