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Finding the Fourth Proportional to 402.20, 554.85 and 262.34

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Solution

The fourth proportional to 402.20, 554.85 and 262.34 is: 361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.20 : 554.85 = 262.34 : x
  2. Step 2: Convert to fraction form
    402.20/554.85 = 262.34/x
  3. Step 3: Cross multiply
    402.20x = 554.85 × 262.34
  4. Step 4: Simplify right side
    402.20x = 145,558.66
  5. Step 5: Solve for x
    x = 145,558.66/402.20
  6. Step 6: Final answer
    x = 361.91

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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.