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Finding the Fourth Proportional to 361.50, 539.41 and 339.46

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Solution

The fourth proportional to 361.50, 539.41 and 339.46 is: 506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.50 : 539.41 = 339.46 : x
  2. Step 2: Convert to fraction form
    361.50/539.41 = 339.46/x
  3. Step 3: Cross multiply
    361.50x = 539.41 × 339.46
  4. Step 4: Simplify right side
    361.50x = 183,105.07
  5. Step 5: Solve for x
    x = 183,105.07/361.50
  6. Step 6: Final answer
    x = 506.52

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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.