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Finding the Fourth Proportional to 361.03, 497.87 and 262.82

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Solution

The fourth proportional to 361.03, 497.87 and 262.82 is: 362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.03 : 497.87 = 262.82 : x
  2. Step 2: Convert to fraction form
    361.03/497.87 = 262.82/x
  3. Step 3: Cross multiply
    361.03x = 497.87 × 262.82
  4. Step 4: Simplify right side
    361.03x = 130,850.19
  5. Step 5: Solve for x
    x = 130,850.19/361.03
  6. Step 6: Final answer
    x = 362.44

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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.