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Finding the Fourth Proportional to 656.36, 905.78 and 361.62

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Solution

The fourth proportional to 656.36, 905.78 and 361.62 is: 499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.36 : 905.78 = 361.62 : x
  2. Step 2: Convert to fraction form
    656.36/905.78 = 361.62/x
  3. Step 3: Cross multiply
    656.36x = 905.78 × 361.62
  4. Step 4: Simplify right side
    656.36x = 327,546.36
  5. Step 5: Solve for x
    x = 327,546.36/656.36
  6. Step 6: Final answer
    x = 499.04

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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.