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Finding the Fourth Proportional to 656.62, 906.14 and 361.90

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Solution

The fourth proportional to 656.62, 906.14 and 361.90 is: 499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.62 : 906.14 = 361.90 : x
  2. Step 2: Convert to fraction form
    656.62/906.14 = 361.90/x
  3. Step 3: Cross multiply
    656.62x = 906.14 × 361.90
  4. Step 4: Simplify right side
    656.62x = 327,932.07
  5. Step 5: Solve for x
    x = 327,932.07/656.62
  6. Step 6: Final answer
    x = 499.42

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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.