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Finding the Fourth Proportional to 656.51, 905.96 and 361.78

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Solution

The fourth proportional to 656.51, 905.96 and 361.78 is: 499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.51 : 905.96 = 361.78 : x
  2. Step 2: Convert to fraction form
    656.51/905.96 = 361.78/x
  3. Step 3: Cross multiply
    656.51x = 905.96 × 361.78
  4. Step 4: Simplify right side
    656.51x = 327,754.14
  5. Step 5: Solve for x
    x = 327,754.14/656.51
  6. Step 6: Final answer
    x = 499.24

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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.