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Finding the Fourth Proportional to 656.56, 906.04 and 361.82

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Solution

The fourth proportional to 656.56, 906.04 and 361.82 is: 499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.56 : 906.04 = 361.82 : x
  2. Step 2: Convert to fraction form
    656.56/906.04 = 361.82/x
  3. Step 3: Cross multiply
    656.56x = 906.04 × 361.82
  4. Step 4: Simplify right side
    656.56x = 327,818.98
  5. Step 5: Solve for x
    x = 327,818.98/656.56
  6. Step 6: Final answer
    x = 499.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.