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Finding the Fourth Proportional to 361.08, 539.01 and 328.68

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Solution

The fourth proportional to 361.08, 539.01 and 328.68 is: 490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.08 : 539.01 = 328.68 : x
  2. Step 2: Convert to fraction form
    361.08/539.01 = 328.68/x
  3. Step 3: Cross multiply
    361.08x = 539.01 × 328.68
  4. Step 4: Simplify right side
    361.08x = 177,161.81
  5. Step 5: Solve for x
    x = 177,161.81/361.08
  6. Step 6: Final answer
    x = 490.64

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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.