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Finding the Fourth Proportional to 656.35, 905.75 and 361.64

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Solution

The fourth proportional to 656.35, 905.75 and 361.64 is: 499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.35 : 905.75 = 361.64 : x
  2. Step 2: Convert to fraction form
    656.35/905.75 = 361.64/x
  3. Step 3: Cross multiply
    656.35x = 905.75 × 361.64
  4. Step 4: Simplify right side
    656.35x = 327,557.24
  5. Step 5: Solve for x
    x = 327,557.24/656.35
  6. Step 6: Final answer
    x = 499.06

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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.