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Finding the Fourth Proportional to 361.75, 498 and 324.90

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Solution

The fourth proportional to 361.75, 498 and 324.90 is: 447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.75 : 498 = 324.90 : x
  2. Step 2: Convert to fraction form
    361.75/498 = 324.90/x
  3. Step 3: Cross multiply
    361.75x = 498 × 324.90
  4. Step 4: Simplify right side
    361.75x = 161,797.71
  5. Step 5: Solve for x
    x = 161,797.71/361.75
  6. Step 6: Final answer
    x = 447.26

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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.