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Finding the Fourth Proportional to 361.43, 539.62 and 312.62

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Solution

The fourth proportional to 361.43, 539.62 and 312.62 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.43 : 539.62 = 312.62 : x
  2. Step 2: Convert to fraction form
    361.43/539.62 = 312.62/x
  3. Step 3: Cross multiply
    361.43x = 539.62 × 312.62
  4. Step 4: Simplify right side
    361.43x = 168,696.00
  5. Step 5: Solve for x
    x = 168,696.00/361.43
  6. Step 6: Final answer
    x = 466.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.