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Finding the Fourth Proportional to 402.03, 554.58 and 262.13

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Solution

The fourth proportional to 402.03, 554.58 and 262.13 is: 361.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.03 : 554.58 = 262.13 : x
  2. Step 2: Convert to fraction form
    402.03/554.58 = 262.13/x
  3. Step 3: Cross multiply
    402.03x = 554.58 × 262.13
  4. Step 4: Simplify right side
    402.03x = 145,369.28
  5. Step 5: Solve for x
    x = 145,369.28/402.03
  6. Step 6: Final answer
    x = 361.59

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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.