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Finding the Fourth Proportional to 656.05, 905.33 and 361.32

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Solution

The fourth proportional to 656.05, 905.33 and 361.32 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.05 : 905.33 = 361.32 : x
  2. Step 2: Convert to fraction form
    656.05/905.33 = 361.32/x
  3. Step 3: Cross multiply
    656.05x = 905.33 × 361.32
  4. Step 4: Simplify right side
    656.05x = 327,116.44
  5. Step 5: Solve for x
    x = 327,116.44/656.05
  6. Step 6: Final answer
    x = 498.62

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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.