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Finding the Fourth Proportional to 656.57, 906.02 and 361.84

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Solution

The fourth proportional to 656.57, 906.02 and 361.84 is: 499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.57 : 906.02 = 361.84 : x
  2. Step 2: Convert to fraction form
    656.57/906.02 = 361.84/x
  3. Step 3: Cross multiply
    656.57x = 906.02 × 361.84
  4. Step 4: Simplify right side
    656.57x = 327,834.28
  5. Step 5: Solve for x
    x = 327,834.28/656.57
  6. Step 6: Final answer
    x = 499.31

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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.