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Finding the Fourth Proportional to 656.46, 905.91 and 361.73

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Solution

The fourth proportional to 656.46, 905.91 and 361.73 is: 499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.46 : 905.91 = 361.73 : x
  2. Step 2: Convert to fraction form
    656.46/905.91 = 361.73/x
  3. Step 3: Cross multiply
    656.46x = 905.91 × 361.73
  4. Step 4: Simplify right side
    656.46x = 327,690.29
  5. Step 5: Solve for x
    x = 327,690.29/656.46
  6. Step 6: Final answer
    x = 499.18

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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.