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Finding the Fourth Proportional to 656.56, 906.02 and 361.77

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Solution

The fourth proportional to 656.56, 906.02 and 361.77 is: 499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.56 : 906.02 = 361.77 : x
  2. Step 2: Convert to fraction form
    656.56/906.02 = 361.77/x
  3. Step 3: Cross multiply
    656.56x = 906.02 × 361.77
  4. Step 4: Simplify right side
    656.56x = 327,769.05
  5. Step 5: Solve for x
    x = 327,769.05/656.56
  6. Step 6: Final answer
    x = 499.22

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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.