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Finding the Fourth Proportional to 656.71, 906.12 and 361.94

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Solution

The fourth proportional to 656.71, 906.12 and 361.94 is: 499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.71 : 906.12 = 361.94 : x
  2. Step 2: Convert to fraction form
    656.71/906.12 = 361.94/x
  3. Step 3: Cross multiply
    656.71x = 906.12 × 361.94
  4. Step 4: Simplify right side
    656.71x = 327,956.54
  5. Step 5: Solve for x
    x = 327,956.54/656.71
  6. Step 6: Final answer
    x = 499.40

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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.