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Finding the Fourth Proportional to 402.09, 554.88 and 262.05

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Solution

The fourth proportional to 402.09, 554.88 and 262.05 is: 361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.09 : 554.88 = 262.05 : x
  2. Step 2: Convert to fraction form
    402.09/554.88 = 262.05/x
  3. Step 3: Cross multiply
    402.09x = 554.88 × 262.05
  4. Step 4: Simplify right side
    402.09x = 145,406.30
  5. Step 5: Solve for x
    x = 145,406.30/402.09
  6. Step 6: Final answer
    x = 361.63

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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.