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Finding the Fourth Proportional to 402.19, 554.64 and 262.41

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Solution

The fourth proportional to 402.19, 554.64 and 262.41 is: 361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 554.64 = 262.41 : x
  2. Step 2: Convert to fraction form
    402.19/554.64 = 262.41/x
  3. Step 3: Cross multiply
    402.19x = 554.64 × 262.41
  4. Step 4: Simplify right side
    402.19x = 145,544.18
  5. Step 5: Solve for x
    x = 145,544.18/402.19
  6. Step 6: Final answer
    x = 361.88

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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.