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Finding the Fourth Proportional to 361.31, 496.76 and 294.08

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Solution

The fourth proportional to 361.31, 496.76 and 294.08 is: 404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.31 : 496.76 = 294.08 : x
  2. Step 2: Convert to fraction form
    361.31/496.76 = 294.08/x
  3. Step 3: Cross multiply
    361.31x = 496.76 × 294.08
  4. Step 4: Simplify right side
    361.31x = 146,083.23
  5. Step 5: Solve for x
    x = 146,083.23/361.31
  6. Step 6: Final answer
    x = 404.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.