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Finding the Fourth Proportional to 361.87, 541.76 and 297.62

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Solution

The fourth proportional to 361.87, 541.76 and 297.62 is: 445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.87 : 541.76 = 297.62 : x
  2. Step 2: Convert to fraction form
    361.87/541.76 = 297.62/x
  3. Step 3: Cross multiply
    361.87x = 541.76 × 297.62
  4. Step 4: Simplify right side
    361.87x = 161,239.49
  5. Step 5: Solve for x
    x = 161,239.49/361.87
  6. Step 6: Final answer
    x = 445.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.